UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM N-Q

       QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT
                               INVESTMENT COMPANY

                  Investment Company Act file number 811-21586
                                                    -----------

                    First Trust Enhanced Equity Income Fund
          ------------------------------------------------------------
               (Exact name of registrant as specified in charter)

                       120 East Liberty Drive, Suite 400
                               Wheaton, IL 60187
          ------------------------------------------------------------
              (Address of principal executive offices) (Zip code)

                             W. Scott Jardine, Esq.

                          First Trust Portfolios L.P.
                       120 East Liberty Drive, Suite 400
                               Wheaton, IL 60187
          ------------------------------------------------------------
                    (Name and address of agent for service)

       Registrant's telephone number, including area code: (630) 765-8000
                                                          ----------------

                      Date of fiscal year end: December 31
                                              -------------

                    Date of reporting period: March 31, 2016
                                             ----------------

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (ss.ss. 239.24 and 274.5 of
this chapter), to file reports with the Commission, not later than 60 days after
the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under
the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use
the information provided on Form N-Q in its regulatory, disclosure review,
inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and
the Commission will make this information public. A registrant is not required
to respond to the collection of information contained in Form N-Q unless the
Form displays a currently valid Office of Management and Budget ("OMB") control
number. Please direct comments concerning the accuracy of the information
collection burden estimate and any suggestions for reducing the burden to the
Secretary, Securities and Exchange Commission, 100 F Street, NE, Washington, DC
20549. The OMB has reviewed this collection of information under the clearance
requirements of 44 U.S.C. ss. 3507.





ITEM 1. SCHEDULE OF INVESTMENTS. The Schedule(s) of Investments is attached
herewith.


FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS
MARCH 31, 2016 (UNAUDITED)

    SHARES                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS - 96.0%

                 AEROSPACE & DEFENSE - 3.1%
         58,000  Honeywell International, Inc. (a)............  $     6,498,900
         20,000  Raytheon Co. (a).............................        2,452,600
                                                                ---------------
                                                                      8,951,500
                                                                ---------------

                 AIR FREIGHT & LOGISTICS - 1.6%
         28,000  FedEx Corp. (a)..............................        4,556,160
                                                                ---------------

                 AUTOMOBILES - 1.4%
        130,000  General Motors Co. (a).......................        4,085,900
                                                                ---------------

                 BANKS - 7.4%
        200,000  Bank of America Corp. (a)....................        2,704,000
         33,500  First Republic Bank CA.......................        2,232,440
        135,000  JPMorgan Chase & Co. (a).....................        7,994,700
         28,000  M&T Bank Corp. (a)...........................        3,108,000
        115,000  Wells Fargo & Co. (a)........................        5,561,400
                                                                ---------------
                                                                     21,600,540
                                                                ---------------

                 BEVERAGES - 3.9%
         37,500  Anheuser-Busch InBev N.V., ADR (a)...........        4,674,750
         65,000  PepsiCo, Inc. (a)............................        6,661,200
                                                                ---------------
                                                                     11,335,950
                                                                ---------------

                 BIOTECHNOLOGY - 2.5%
         30,000  Celgene Corp. (a) (b)........................        3,002,700
         48,700  Gilead Sciences, Inc. (a)....................        4,473,582
                                                                ---------------
                                                                      7,476,282
                                                                ---------------

                 CAPITAL MARKETS - 2.1%
          8,000  BlackRock, Inc. (a)..........................        2,724,560
        125,000  Charles Schwab (The) Corp. (a)...............        3,502,500
                                                                ---------------
                                                                      6,227,060
                                                                ---------------

                 CHEMICALS - 1.6%
         30,000  LyondellBasell Industries N.V., Class A......        2,567,400
         20,000  PPG Industries, Inc..........................        2,229,800
                                                                ---------------
                                                                      4,797,200
                                                                ---------------

                 COMMUNICATIONS EQUIPMENT - 1.9%
        200,000  Cisco Systems, Inc. (a)......................        5,694,000
                                                                ---------------

                 CONSUMER FINANCE - 1.4%
         66,500  American Express Co. (a).....................        4,083,100
                                                                ---------------

                 DIVERSIFIED TELECOMMUNICATION SERVICES - 2.4%
        100,000  AT&T, Inc. (a)...............................        3,917,000
         32,000  SBA Communications Corp., Class A (a) (b)....        3,205,440
                                                                ---------------
                                                                      7,122,440
                                                                ---------------

                 ELECTRIC UTILITIES - 1.4%
        110,000  PPL Corp. (a)................................        4,187,700
                                                                ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS(CONTINUED)
MARCH 31, 2016 (UNAUDITED)

    SHARES                         DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS (CONTINUED)

                 ENERGY EQUIPMENT & SERVICES - 2.4%
         75,000  National Oilwell Varco, Inc. (a).............  $     2,332,500
        125,000  Noble Corp. PLC..............................        1,293,750
         46,000  Schlumberger, Ltd. (a).......................        3,392,500
                                                                ---------------
                                                                      7,018,750
                                                                ---------------

                 FOOD & STAPLES RETAILING - 3.3%
         25,000  Costco Wholesale Corp. (a)...................        3,939,500
         55,000  CVS Health Corp. (a).........................        5,705,150
                                                                ---------------
                                                                      9,644,650
                                                                ---------------

                 FOOD PRODUCTS - 1.1%
         40,000  Kraft Heinz (The) Co.........................        3,142,400
                                                                ---------------

                 HEALTH CARE EQUIPMENT & SUPPLIES - 1.9%
         75,000  Medtronic PLC (a)............................        5,625,000
                                                                ---------------

                 HEALTH CARE PROVIDERS & SERVICES - 2.0%
         29,000  Cardinal Health, Inc. (a)....................        2,376,550
         28,000  UnitedHealth Group, Inc. (a).................        3,609,200
                                                                ---------------
                                                                      5,985,750
                                                                ---------------

                 HOTELS, RESTAURANTS & LEISURE - 2.0%
        110,000  Carnival Corp. (a)...........................        5,804,700
                                                                ---------------

                 HOUSEHOLD DURABLES - 1.4%
         95,000  Newell Rubbermaid, Inc.......................        4,207,550
                                                                ---------------

                 INDUSTRIAL CONGLOMERATES - 3.6%
        330,000  General Electric Co. (a).....................       10,490,700
                                                                ---------------

                 INSURANCE - 4.0%
         75,000  Arthur J. Gallagher & Co. (a)................        3,336,000
         40,000  Chubb, Ltd. (a)..............................        4,766,000
         80,000  MetLife, Inc. (a)............................        3,515,200
                                                                ---------------
                                                                     11,617,200
                                                                ---------------

                 IT SERVICES - 1.8%
         57,500  Automatic Data Processing, Inc. (a)..........        5,158,325
                                                                ---------------

                 LIFE SCIENCES TOOLS & SERVICES - 1.9%
         40,000  Thermo Fisher Scientific, Inc. (a)...........        5,663,600
                                                                ---------------

                 MEDIA - 3.9%
         72,500  CBS Corp., Class B (a).......................        3,994,025
         70,000  Cinemark Holdings, Inc. (a)..................        2,508,100
         80,000  Comcast Corp., Class A (a)...................        4,886,400
                                                                ---------------
                                                                     11,388,525
                                                                ---------------

                 OIL, GAS & CONSUMABLE FUELS - 4.8%
         42,000  Chevron Corp. (a)............................        4,006,800
         25,000  Exxon Mobil Corp. (a)........................        2,089,750
         65,000  HollyFrontier Corp...........................        2,295,800
        120,000  Marathon Oil Corp. (a).......................        1,336,800


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS(CONTINUED)
MARCH 31, 2016 (UNAUDITED)

    SHARES                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
COMMON STOCKS (CONTINUED)

                 OIL, GAS & CONSUMABLE FUELS (CONTINUED)
         62,000  Occidental Petroleum Corp. (a)...............  $     4,242,660
                                                                ---------------
                                                                     13,971,810
                                                                ---------------

                 PHARMACEUTICALS - 6.1%
         12,500  Allergan PLC (a) (b).........................        3,350,375
        130,000  Merck & Co., Inc. (a)........................        6,878,300
        260,000  Pfizer, Inc. (a).............................        7,706,400
                                                                ---------------
                                                                     17,935,075
                                                                ---------------

                 SEMICONDUCTORS & SEMICONDUCTOR
                    EQUIPMENT - 5.0%
        160,000  Intel Corp. (a)..............................        5,176,000
         80,000  Microchip Technology, Inc. (a)...............        3,856,000
        130,000  Micron Technology, Inc. (b)..................        1,361,100
        121,500  NVIDIA Corp..................................        4,329,045
                                                                ---------------
                                                                     14,722,145
                                                                ---------------

                 SOFTWARE - 6.5%
         58,500  Check Point Software Technologies Ltd. (a)
                    (b).......................................        5,116,995
        155,000  Microsoft Corp. (a)..........................        8,560,650
        130,000  Oracle Corp. (a).............................        5,318,300
                                                                ---------------
                                                                     18,995,945
                                                                ---------------

                 SPECIALTY RETAIL - 1.3%
         45,000  L Brands, Inc. (a)...........................        3,951,450
                                                                ---------------

                 TECHNOLOGY HARDWARE, STORAGE &
                    PERIPHERALS - 4.6%
        125,000  Apple, Inc. (a)..............................       13,623,750
                                                                ---------------

                 TEXTILES, APPAREL & LUXURY GOODS - 2.7%
         52,500  NIKE, Inc., Class B..........................        3,227,175
         72,500  VF Corp. (a).................................        4,695,100
                                                                ---------------
                                                                      7,922,275
                                                                ---------------

                 TOBACCO - 4.0%
         95,000  Altria Group, Inc. (a).......................        5,952,700
         60,000  Philip Morris International, Inc. (a)........        5,886,600
                                                                ---------------
                                                                     11,839,300
                                                                ---------------

                 WATER UTILITIES - 1.0%
         43,500  American Water Works Co., Inc. (a)...........        2,998,455
                                                                ---------------
                 TOTAL COMMON STOCKS..........................      281,825,187
                 (Cost $253,370,201)                            ---------------

REAL ESTATE INVESTMENT TRUSTS - 2.4%
         65,000  Lamar Advertising Co., Class A (a)...........        3,997,500
         15,000  Simon Property Group, Inc....................        3,115,350
                                                                ---------------
                 TOTAL REAL ESTATE INVESTMENT TRUSTS..........        7,112,850
                 (Cost $6,297,299)                              ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS(CONTINUED)
MARCH 31, 2016 (UNAUDITED)

    SHARES/
     UNITS                        DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
MASTER LIMITED PARTNERSHIPS - 1.5%

                 OIL, GAS & CONSUMABLE FUELS - 1.5%
         55,000  Energy Transfer Partners, L.P. (a)...........  $     1,778,700
        100,000  Enterprise Products Partners, L.P. (a).......        2,462,000
                                                                ---------------
                 TOTAL MASTER LIMITED PARTNERSHIPS............        4,240,700
                 (Cost $2,933,495)                              ---------------

                 TOTAL INVESTMENTS - 99.9%....................      293,178,737
                 (Cost $262,600,995) (c)                        ---------------

   NUMBER OF
   CONTRACTS                      DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
CALL OPTIONS WRITTEN - (0.2%)

                 Apple, Inc. Call
            300  @ $110.00 due April 2016.....................          (37,500)
                                                                ---------------
                 Automatic Data Processing, Inc. Call
            225  @   90.00 due April 2016.....................          (20,475)
                                                                ---------------
                 BlackRock, Inc. Call
             70  @  360.00 due April 2016.....................           (5,320)
                                                                ---------------
                 Carnival Corp. Call
            400  @   52.50 due April 2016.....................          (46,000)
                                                                ---------------
                 Cisco Systems, Inc. Call
            400  @   29.00 due April 2016.....................           (3,600)
                                                                ---------------
                 Energy Transfer Partners, L.P. Call
            125  @   32.00 due April 2016.....................          (16,500)
                                                                ---------------
                 FedEx Corp. Call
            100  @  170.00 due April 2016.....................           (2,300)
                                                                ---------------
                 General Electric Co. Call
          1,000  @   32.00 due April 2016.....................          (27,000)
                                                                ---------------
                 HollyFrontier Corp. Call
            325  @   38.00 due April 2016.....................           (3,250)
                                                                ---------------
                 Honeywell International, Inc. Call
            125  @  115.00 due April 2016.....................           (4,500)
                                                                ---------------
                 Intel Corp. Call
            500  @   34.00 due April 2016.....................           (2,000)
                                                                ---------------
                 JPMorgan Chase & Co. Call
            400  @   62.50 due April 2016.....................           (4,400)
                                                                ---------------


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS(CONTINUED)
MARCH 31, 2016 (UNAUDITED)

   NUMBER OF
   CONTRACTS                      DESCRIPTION                        VALUE
---------------  ---------------------------------------------  ---------------
CALL OPTIONS WRITTEN (CONTINUED)

                 L Brands, Inc. Call
          150    @ $ 90.00 due April 2016.....................  $        (7,500)
                                                                ---------------
                 LyondellBasell Industries N.V., Class A Call
          125    @   92.50 due April 2016.....................           (1,250)
                                                                ---------------
                 Microchip Technology, Inc. Calls
          300    @   49.00 due April 2016.....................          (18,000)
          200    @   50.00 due April 2016.....................           (6,800)
                                                                ---------------
                                                                        (24,800)
                                                                ---------------
                 Microsoft Corp. Call
          350    @   55.00 due April 2016.....................          (32,900)
                                                                ---------------
                 NIKE, Inc. Call
          150    @   67.50 due April 2016.....................             (300)
                                                                ---------------
                 Noble Corp. PLC Call
          600    @   14.00 due April 2016.....................           (1,800)
                                                                ---------------
                 NVIDIA Corp. Calls
          240    @   36.00 due May 2016.......................          (43,920)
          245    @   38.00 due May 2016.......................          (27,685)
          245    @   40.00 due May 2016.......................          (12,250)
                                                                ---------------
                                                                        (83,855)
                                                                ---------------
                 Oracle Corp. Call
          400    @   42.00 due April 2016.....................           (4,800)
                                                                ---------------
                 Philip Morris International, Inc. Call
          300    @  100.00 due April 2016.....................          (10,200)
                                                                ---------------
                 PPL Corp. Call
          400    @   38.00 due April 2016.....................          (16,000)
                                                                ---------------
                 S&P 500 Index Calls (d)
          150    @   2,080.00 due April 2016..................         (130,200)
          350    @   2,095.00 due April 2016..................         (124,250)
          150    @   2,130.00 due May 2016....................          (93,750)
                                                                ---------------
                                                                       (348,200)
                                                                ---------------
                 TOTAL CALL OPTIONS WRITTEN...................         (704,450)
                 (Premiums received $864,382)                   ---------------

                 NET OTHER ASSETS AND LIABILITIES - 0.3%......        1,036,347
                                                                ---------------
                 NET ASSETS - 100.0%..........................  $   293,510,634
                                                                ===============

-----------------------------

(a)   All or a portion of this security is pledged to cover index call options
      written.

(b)   Non-income producing security.


                     See Notes to Portfolio of Investments





FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
PORTFOLIO OF INVESTMENTS(CONTINUED)
MARCH 31, 2016 (UNAUDITED)

(c)   Aggregate cost for financial reporting purposes, which approximates the
      aggregate cost for federal income tax purposes. As of March 31, 2016, the
      aggregate gross unrealized appreciation for all securities in which there
      was an excess of value over tax cost was $45,263,453 and the aggregate
      gross unrealized depreciation for all securities in which there was an
      excess of tax cost over value was $14,685,711.

(d)   Call options on securities indices were written on a portion of the common
      stock positions that were not used to cover call options written on
      individual equity securities held in the Fund's portfolio.

ADR   American Depositary Receipt

-----------------------------

VALUATION INPUTS

A summary of the inputs used to value the Fund's investments as of March 31,
2016 is as follows (see Note 2A - Portfolio Valuation in the Notes to Portfolio
of Investments):




                                                 ASSETS TABLE
                                                                                    LEVEL 2         LEVEL 3
                                                     TOTAL          LEVEL 1       SIGNIFICANT     SIGNIFICANT
                                                   VALUE AT         QUOTED        OBSERVABLE      UNOBSERVABLE
INVESTMENTS                                        3/31/2016        PRICES          INPUTS           INPUTS
----------------------------------------------  ---------------  -------------  ---------------  --------------
                                                                                     
Common Stocks*................................  $   281,825,187  $ 281,825,187  $            --  $           --
Real Estate Investment Trusts.................        7,112,850      7,112,850               --              --
Master Limited Partnerships*..................        4,240,700      4,240,700               --              --
                                                ---------------  -------------  ---------------  --------------
Total Investments.............................  $   293,178,737  $ 293,178,737  $            --  $           --
                                                ===============  =============  ===============  ==============

                                               LIABILITIES TABLE
                                                                                    LEVEL 2         LEVEL 3
                                                     TOTAL          LEVEL 1       SIGNIFICANT     SIGNIFICANT
                                                   VALUE AT         QUOTED        OBSERVABLE       OBSERVABLE
                                                   3/31/2016        PRICES          INPUTS           INPUTS
                                                ---------------  -------------  ---------------  --------------
Call Options Written..........................  $      (704,450) $    (704,450) $            --  $           --
                                                ===============  =============  ===============  ==============


* See Portfolio of Investments for industry breakdown.

All transfers in and out of the levels during the period are assumed to be
transferred on the last day of the period at their current value. There were no
transfers between levels at March 31, 2016.


                     See Notes to Portfolio of Investments





NOTES TO PORTFOLIO OF INVESTMENTS

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2016 (UNAUDITED)


                                1. ORGANIZATION

First Trust Enhanced Equity Income Fund (the "Fund") is a diversified,
closed-end management investment company organized as a Massachusetts business
trust on May 20, 2004, and is registered with the Securities and Exchange
Commission under the Investment Company Act of 1940, as amended (the "1940
Act"). The Fund trades under the ticker symbol FFA on the New York Stock
Exchange ("NYSE").

The Fund, which is an investment company within the scope of Financial
Accounting Standards Board ("FASB") Accounting Standards Update 2013-08, follows
accounting and reporting guidance under FASB Accounting Standards Codification
Topic 946, "Financial Services-Investment Companies."

                     2. VALUATION AND INVESTMENT PRACTICES

A. PORTFOLIO VALUATION

The net asset value ("NAV") of the Common Shares of the Fund is determined daily
as of the close of regular trading on the NYSE, normally 4:00 p.m. Eastern time,
on each day the NYSE is open for trading. If the NYSE closes early on a
valuation day, the NAV is determined as of that time. The Fund's NAV per Common
Share is calculated by dividing the value of all assets of the Fund (including
accrued interest and dividends), less all liabilities (including accrued
expenses, the value of call options written (sold) and dividends declared but
unpaid), by the total number of Common Shares outstanding.

The Fund's investments are valued daily at market value or, in the absence of
market value with respect to any portfolio securities, at fair value. Market
value prices represent last sale or official closing prices from a national or
foreign exchange (i.e., a regulated market) and are primarily obtained from
third-party pricing services. Fair value prices represent any prices not
considered market value prices and are either obtained from a third-party
pricing service or are determined by the Pricing Committee of the Fund's
investment advisor, First Trust Advisors L.P. ("First Trust" or the "Advisor"),
in accordance with valuation procedures adopted by the Fund's Board of Trustees,
and in accordance with provisions of the 1940 Act. Investments valued by the
Advisor's Pricing Committee, if any, are footnoted as such in the footnotes to
the Portfolio of Investments. The Fund's investments are valued as follows:

      Common stocks, real estate investment trusts, master limited partnerships,
      exchange-traded funds and other equity securities listed on any national
      or foreign exchange (excluding The Nasdaq Stock Market LLC ("Nasdaq") and
      the London Stock Exchange Alternative Investment Market ("AIM")) are
      valued at the last sale price on the exchange on which they are
      principally traded or, for Nasdaq and AIM securities, the official closing
      price. Securities traded on more than one securities exchange are valued
      at the last sale price or official closing price, as applicable, at the
      close of the securities exchange representing the principal market for
      such securities.

      Securities traded in an over-the-counter market are fair valued at the
      mean of their most recent bid and asked price, if available, and otherwise
      at their closing bid price.

      Exchange-traded options contracts are valued at the closing price in the
      market where such contracts are principally traded. If no closing price is
      available, exchange-traded options contracts are fair valued at the mean
      of their most recent bid and asked price, if available, and otherwise at
      their closing bid price. Over-the-counter options contracts are fair
      valued at the mean of their most recent bid and asked price, if available,
      and otherwise at their closing bid price.

Certain securities may not be able to be priced by pre-established pricing
methods. Such securities may be valued by the Fund's Board of Trustees or its
delegate, the Advisor's Pricing Committee, at fair value. These securities
generally include, but are not limited to, restricted securities (securities
which may not be publicly sold without registration under the Securities Act of
1933, as amended) for which a pricing service is unable to provide a market
price; securities whose trading has been formally suspended; a security whose
market or fair value price is not available from a pre-established pricing
source; a security with respect to which an event has occurred that is likely to
materially affect the value of the security after the market has closed but
before the calculation of the Fund's NAV or make it difficult or impossible to
obtain a reliable market quotation; and a security whose price, as provided by
the pricing service, does not reflect the security's fair value. As a general
principle, the current fair value of a security would appear to be the amount
which the owner might reasonably expect to receive for the security upon its
current sale. When fair value prices are used, generally they will differ from
market quotations or official closing prices on the applicable exchanges. A
variety of factors may be considered in determining the fair value of such
securities, including, but not limited to, the following:

      1)    the type of security;

      2)    the size of the holding;

      3)    the initial cost of the security;

      4)    transactions in comparable securities;

      5)    price quotes from dealers and/or pricing services;





NOTES TO PORTFOLIO OF INVESTMENTS (CONTINUED)

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2016 (UNAUDITED)

      6)    relationships among various securities;

      7)    information obtained by contacting the issuer, analysts, or the
            appropriate stock exchange;

      8)    an analysis of the issuer's financial statements; and

      9)    the existence of merger proposals or tender offers that might affect
            the value of the security.

The Fund is subject to fair value accounting standards that define fair value,
establish the framework for measuring fair value and provide a three-level
hierarchy for fair valuation based upon the inputs to the valuation as of the
measurement date. The three levels of the fair value hierarchy are as follows:

      o     Level 1 - Level 1 inputs are quoted prices in active markets for
            identical investments. An active market is a market in which
            transactions for the investment occur with sufficient frequency and
            volume to provide pricing information on an ongoing basis.

      o     Level 2 - Level 2 inputs are observable inputs, either directly or
            indirectly, and include the following:

            o     Quoted prices for similar investments in active markets.

            o     Quoted prices for identical or similar investments in markets
                  that are non-active. A non-active market is a market where
                  there are few transactions for the investment, the prices are
                  not current, or price quotations vary substantially either
                  over time or among market makers, or in which little
                  information is released publicly.

            o     Inputs other than quoted prices that are observable for the
                  investment (for example, interest rates and yield curves
                  observable at commonly quoted intervals, volatilities,
                  prepayment speeds, loss severities, credit risks, and default
                  rates).

            o     Inputs that are derived principally from or corroborated by
                  observable market data by correlation or other means.

      o     Level 3 - Level 3 inputs are unobservable inputs. Unobservable
            inputs may reflect the reporting entity's own assumptions about the
            assumptions that market participants would use in pricing the
            investment.

The inputs or methodologies used for valuing investments are not necessarily an
indication of the risk associated with investing in those investments. A summary
of the inputs used to value the Fund's investments as of March 31, 2016, is
included with the Fund's Portfolio of Investments.

B. OPTION CONTRACTS

The Fund is subject to equity price risk in the normal course of pursuing its
investment objective and may write (sell) options to hedge against changes in
the value of equities. Also, the Fund seeks to generate additional income, in
the form of premiums received, from writing (selling) the options. The Fund may
write (sell) covered call options ("options") on all or a portion of the equity
securities held in the Fund's portfolio and on securities indices as determined
to be appropriate by Chartwell Investment Partners, LLC ("Chartwell" or the
"Sub-Advisor"), consistent with the Fund's investment objective. The number of
options the Fund can write (sell) is limited by the amount of equity securities
the Fund holds in its portfolio. Options on securities indices are designed to
reflect price fluctuations in a group of securities or segment of the securities
market rather than price fluctuations in a single security and are similar to
options on single securities, except that the exercise of securities index
options requires cash settlement payments and does not involve the actual
purchase or sale of securities. The Fund will not write (sell) "naked" or
uncovered options. If certain equity securities held in the Fund's portfolio are
not covered by a related call option on the individual equity security,
securities index options may be written on all or a portion of such uncovered
securities. Options are marked-to-market daily and their value will be affected
by changes in the value and dividend rates of the underlying equity securities,
changes in interest rates, changes in the actual or perceived volatility of the
securities markets and the underlying equity securities and the remaining time
to the options' expiration. The value of options may also be adversely affected
if the market for the options becomes less liquid or trading volume diminishes.

Options the Fund writes (sells) will either be exercised, expire or be cancelled
pursuant to a closing transaction. If the price of the underlying equity
security exceeds the option's exercise price, it is likely that the option
holder will exercise the option. If an option written (sold) by the Fund is
exercised, the Fund would be obligated to deliver the underlying equity security
to the option holder upon payment of the strike price. In this case, the option
premium received by the Fund will be added to the amount realized on the sale of
the underlying security for purposes of determining gain or loss. If the price
of the underlying equity security is less than the option's strike price, the
option will likely expire without being exercised. The option premium received
by the Fund will, in this case, be treated as short-term capital gain on the
expiration date of the option. The Fund may also elect to close out its position
in an option prior to its expiration by purchasing an option of the same series
as the option written (sold) by the Fund.





NOTES TO PORTFOLIO OF INVESTMENTS (CONTINUED)

                 FIRST TRUST ENHANCED EQUITY INCOME FUND (FFA)
                           MARCH 31, 2016 (UNAUDITED)

The options that the Fund writes (sells) give the option holder the right, but
not the obligation, to purchase a security from the Fund at the strike price on
or prior to the option's expiration date. The ability to successfully implement
the writing (selling) of covered call options depends on the ability of the
Sub-Advisor to predict pertinent market movements, which cannot be assured.
Thus, the use of options may require the Fund to sell portfolio securities at
inopportune times or for prices other than current market value, which may limit
the amount of appreciation the Fund can realize on an investment, or may cause
the Fund to hold a security that it might otherwise sell. As the writer (seller)
of a covered option, the Fund foregoes, during the option's life, the
opportunity to profit from increases in the market value of the security
covering the option above the sum of the premium and the strike price of the
option, but has retained the risk of loss should the price of the underlying
security decline. The writer (seller) of an option has no control over the time
when it may be required to fulfill its obligation as a writer (seller) of the
option. Once an option writer (seller) has received an exercise notice, it
cannot effect a closing purchase transaction in order to terminate its
obligation under the option and must deliver the underlying security to the
option holder at the exercise price.

Over-the-counter options have the risk of the potential inability of
counterparties to meet the terms of their contracts. The Fund's maximum equity
price risk for purchased options is limited to the premium initially paid. In
addition, certain risks may arise upon entering into option contracts including
the risk that an illiquid secondary market will limit the Fund's ability to
close out an option contract prior to the expiration date and that a change in
the value of the option contract may not correlate exactly with changes in the
value of the securities hedged.

C. SECURITIES TRANSACTIONS AND INVESTMENT INCOME

Securities transactions are recorded as of the trade date. Realized gains and
losses from securities transactions are recorded on the identified cost basis.

                           3. DERIVATIVE TRANSACTIONS

Written option activity for the Fund for the fiscal year-to-date period (January
1, 2016 through March 31, 2016) was as follows:

                                               NUMBER
                                                 OF
WRITTEN OPTIONS                               CONTRACTS        PREMIUMS
--------------------------------------------------------------------------
Options outstanding at December 31, 2015....      7,115      $     974,414
Options Written.............................     24,320          4,899,021
Options Expired.............................    (13,015)          (954,847)
Options Exercised...........................       (985)           (67,697)
Options Closed..............................     (9,110)        (3,986,509)
                                              ---------      -------------
Options outstanding at March 31, 2016.......      8,325      $     864,382
                                              =========      =============





ITEM 2. CONTROLS AND PROCEDURES.

(a)   The registrant's principal executive and principal financial officers, or
      persons performing similar functions, have concluded that the registrant's
      disclosure controls and procedures (as defined in Rule 30a-3(c) under the
      Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR
      270.30a-3(c))) are effective, as of a date within 90 days of the filing
      date of the report that includes the disclosure required by this
      paragraph, based on their evaluation of these controls and procedures
      required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and
      Rules 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934, as
      amended (17 CFR 240.13a-15(b) or 240.15d-15(b)).

(b)   There were no changes in the registrant's internal control over financial
      reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR
      270.30a-3(d)) that occurred during the registrant's last fiscal quarter
      that have materially affected, or are reasonably likely to materially
      affect, the registrant's internal control over financial reporting.

ITEM 3. EXHIBITS.

Certifications pursuant to Rule 30a-2(a) under the 1940 Act and Section 302 of
the Sarbanes-Oxley Act of 2002 are attached hereto.





                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, the registrant has duly caused this report to be
signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)        First Trust Enhanced Equity Income Fund
              ---------------------------------------------------

By (Signature and Title)*               /s/ James M. Dykas
                                        ----------------------------------------
                                        James M. Dykas, President and
                                        Chief Executive Officer
                                        (principal executive officer)

Date: May 19, 2016
     ---------------

Pursuant to the requirements of the Securities Exchange Act of 1934 and the
Investment Company Act of 1940, this report has been signed below by the
following persons on behalf of the registrant and in the capacities and on the
dates indicated.

By (Signature and Title)*               /s/ James M. Dykas
                                        ----------------------------------------
                                        James M. Dykas, President and
                                        Chief Executive Officer
                                        (principal executive officer)

Date: May 19, 2016
     ---------------

By (Signature and Title)*               /s/ Donald P. Swade
                                        ----------------------------------------
                                        Donald P. Swade, Treasurer,
                                        Chief Financial Officer and
                                        Chief Accounting Officer
                                        (principal financial officer)

Date: May 19, 2016
     ---------------

* Print the name and title of each signing officer under his or her signature.