PAGE  1
000 B000000 04/30/2014
000 C000000 0001223026
000 D000000 N
000 E000000 NF
000 F000000 Y
000 G000000 N
000 H000000 N
000 I000000 6.1
000 J000000 A
001 A000000 PIONEER MUNICIPAL HIGH INCOME TRUST
001 B000000 811-21321
001 C000000 6177427825
002 A000000 60 STATE STREET
002 B000000 BOSTON
002 C000000 MA
002 D010000 02109
003  000000 N
004  000000 N
005  000000 N
006  000000 N
007 A000000 N
007 B000000  0
007 C010100  1
007 C010200  2
007 C010300  3
007 C010400  4
007 C010500  5
007 C010600  6
007 C010700  7
007 C010800  8
007 C010900  9
007 C011000 10
008 A000001 PIONEER INVESTMENT MANAGEMENT, INC.
008 B000001 A
008 C000001 801-8255
008 D010001 BOSTON
008 D020001 MA
008 D030001 02109
010 A000001 PIONEER INVESTMENT MANAGEMENT, INC.
010 B000001 801-8255
010 C010001 BOSTON
010 C020001 MA
010 C030001 02109
010 A000002 BROWN BROTHERS HARRIMAN & CO.
010 C010002 BOSTON
010 C020002 MA
010 C030002 02110
011 A000001 PIONEER FUNDS DISTRIBUTOR, INC.
011 B000001 8-41256
011 C010001 BOSTON
011 C020001 MA
      PAGE  2
011 C030001 02109
011 C040001 1820
011 A000002 UBS INVESTMENT BANK
011 B000002 8-022651
011 C010002 STAMFORD
011 C020002 CT
011 C030002 06901
011 A000003 RBC CAPITAL MARKETS CORP.
011 B000003 8-045411
011 C010003 MINNEAPOLIS
011 C020003 MN
011 C030003 55402
011 C040003 4422
011 A000004 ADVEST, INC.
011 B000004 8-21409
011 C010004 HARTFORD
011 C020004 CT
011 C030004 06103
011 A000005 JANNEY MONTGOMERY SCOTT, LLC
011 B000005 8-462
011 C010005 PHILADELPHIA
011 C020005 PA
011 C030005 19103
011 C040005 1675
011 A000006 MCDONALD INVESTMENTS, INC.
011 B000006 8-30177
011 C010006 CLEVELAND
011 C020006 OH
011 C030006 44114
011 C040006 2603
011 A000007 STIFEL, NICOLAUS & CO., INC.
011 B000007 8-001447
011 C010007 ST. LOUIS
011 C020007 MO
011 C030007 63102
012 A000001 PIONEER INVEST. MGT. SHAREHOLDER SVCS., INC.
012 B000001 85-01359
012 C010001 BOSTON
012 C020001 MA
012 C030001 02109
012 A000002 AMERICAN STOCK TRANSFER & TRUST CO. (COMMON)
012 B000002 85-00000
012 C010002 BROOKLYN
012 C020002 NY
012 C030002 11219
012 A000003 DEUTSCHE BANK TRUST COMPANY AMERICAS (PREF)
012 B000003 85-00000
012 C010003 NEW YORK
012 C020003 NY
012 C030003 10005
013 A000001 ERNST & YOUNG LLP
      PAGE  3
013 B010001 BOSTON
013 B020001 MA
013 B030001 02116
013 B040001 5072
015 A000001 BROWN BROTHERS HARRIMAN & CO.
015 B000001 C
015 C010001 BOSTON
015 C020001 MA
015 C030001 02110
015 E010001 X
015 A000002 CITIBANK, N.A. BUENOS AIRES BRANCH
015 B000002 S
015 C010002 BUENOS AIRES
015 D010002 ARGENTINA
015 E040002 X
015 A000003 HSBC BANK AUSTRALIA LIMITED
015 B000003 S
015 C010003 SYDNEY
015 D010003 AUSTRALIA
015 E040003 X
015 A000004 UNICREDIT BANK AUSTRIA AG
015 B000004 S
015 C010004 VIENNA
015 D010004 AUSTRIA
015 E040004 X
015 A000005 STANDARD CHARTERED BANK, BANGLADESH BRANCH
015 B000005 S
015 C010005 DHAKA
015 D010005 BANGLADESH
015 E040005 X
015 A000006 BNP PARIBAS SECURITIES SERVICES
015 B000006 S
015 C010006 PARIS
015 D010006 BELGIUM
015 E040006 X
015 A000007 EUROCLEAR BANK SA NV
015 B000007 S
015 C010007 BRUSSELS
015 D010007 BELGIUM
015 E040007 X
015 A000008 CITIBANK, N.A., SAO PAULO
015 B000008 S
015 C010008 SAO PAULO
015 D010008 BRAZIL
015 E040008 X
015 A000009 ING BANK, N.V., SOFIA BRANCH
015 B000009 S
015 C010009 SOFIA
015 D010009 BULGARIA
015 E040009 X
015 A000010 RBC INVESTOR SERVICES TRUST
      PAGE  4
015 B000010 S
015 C010010 TORONTO
015 D010010 CANADA
015 E040010 X
015 A000011 BANCO DE CHILE
015 B000011 S
015 C010011 SANTIAGO
015 D010011 CHILE
015 E040011 X
015 A000012 STANDARD CHARTERED BANK (CHINA) LIMITED
015 B000012 S
015 C010012 SHANGHAI
015 D010012 CHINA
015 E040012 X
015 A000013 CITITRUST COLOMBIA S.A., SOCIEDAD FIDUCIARA
015 B000013 S
015 C010013 BOGATA
015 D010013 COLOMBIA
015 E040013 X
015 A000014 UNICREDIT BANK AUSTRIA AG
015 B000014 S
015 C010014 VIENNA
015 D010014 CROATIA
015 E040014 X
015 A000015 CITIBANK EUROPE PLC, ORGANIZACNI SLOZKA
015 B000015 S
015 C010015 PRAGUE
015 D010015 CZECH REPUBLIC
015 E040015 X
015 A000016 SKANDINAVISKA ENSKILDA BANKEN AB (PUBL)DAN
015 B000016 S
015 C010016 COPENHAGEN
015 D010016 DENMARK
015 E040016 X
015 A000017 CITIBANK, N.A., CAIRO BRANCH
015 B000017 S
015 C010017 CAIRO
015 D010017 EGYPT
015 E040017 X
015 A000018 NORDEA BANK FINLAND PLC
015 B000018 S
015 C010018 HELSINKI
015 D010018 FINLAND
015 E040018 X
015 A000019 BNP PARIBAS SECURITIES SERVICES
015 B000019 S
015 C010019 PARIS
015 D010019 FRANCE
015 E040019 X
015 A000020 BNP PARIBAS SECURITIES SERVICES, FRANKFURT
015 B000020 S
      PAGE  5
015 C010020 FRANKFURT
015 D010020 GERMANY
015 E040020 X
015 A000021 STANDARD CHARTERED BANK GHANA LTD.
015 B000021 S
015 C010021 ACCRA
015 D010021 GHANA
015 E040021 X
015 A000022 HSBC BANK PLC, ATHENS BRANCH
015 B000022 S
015 C010022 ATHENS
015 D010022 GREECE
015 E040022 X
015 A000023 STANDARD CHARTERED BANK (HONG KONG) LIMITED
015 B000023 S
015 C010023 KWUN TONG
015 D010023 HONG KONG
015 E040023 X
015 A000024 CITIBANK EUROPE PLC, HUNGARIAN BRANCH OFFICE
015 B000024 S
015 C010024 BUDAPEST
015 D010024 HUNGARY
015 E040024 X
015 A000025 CITIBANK, N.A.-MUMBAI BRANCH
015 B000025 S
015 C010025 MUMBAI
015 D010025 INDIA
015 E040025 X
015 A000026 CITIBANK, N.A., JAKARTA BRANCH
015 B000026 S
015 C010026 JAKARTA
015 D010026 INDONESIA
015 E040026 X
015 A000027 CITIBANK, N.A., LONDON BRANCH
015 B000027 S
015 C010027 LONDON
015 D010027 IRELAND
015 E040027 X
015 A000028 BANK HAPOALIM BM
015 B000028 S
015 C010028 TEL AVIV
015 D010028 ISRAEL
015 E040028 X
015 A000029 BNP PARIBAS SECURITIES SERVICES, MILAN BRANCH
015 B000029 S
015 C010029 MILAN
015 D010029 ITALY
015 E040029 X
015 A000030 SUMITOMO MITSU BANKING CORPORATION
015 B000030 S
015 C010030 TOKYO
      PAGE  6
015 D010030 JAPAN
015 E040030 X
015 A000031 HSBC BANK MIDDLE EAST LIMITED, JORDAN BRANCH
015 B000031 S
015 C010031 AMMAN
015 D010031 JORDAN
015 E040031 X
015 A000032 CFC STANBIC BANK LIMITED
015 B000032 S
015 C010032 NAIROBI
015 D010032 KENYA
015 E040032 X
015 A000033 HSBC BANK MIDDLE EAST LIMITED,KUWAIT BRANCH
015 B000033 S
015 C010033 SAFAT
015 D010033 KUWAIT
015 E040033 X
015 A000034 KBL EUROPEAN PRIVATE BANKERS SA
015 B000034 S
015 C010034 LUXEMBOURG
015 D010034 LUXEMBOURG
015 E040034 X
015 A000035 HSBC BANK MALAYSIA BERHAD
015 B000035 S
015 C010035 KUALA LUMPUR
015 D010035 MALAYSIA
015 E040035 X
015 A000036 BANCO NACIONAL DE MEXICO, S.A.(BANAMEX)
015 B000036 S
015 C010036 MEXICO CITY
015 D010036 MEXICO
015 E040036 X
015 A000037 CITIBANK MAGHREB
015 B000037 S
015 C010037 CASABLANCA
015 D010037 MOROCCO
015 E040037 X
015 A000038 BNP PARIBAS SERCURITIES SERVICES
015 B000038 S
015 C010038 PARIS
015 D010038 NETHERLANDS
015 E040038 X
015 A000039 HSBC LIMITED, NEW ZEALAND BRANCH
015 B000039 S
015 C010039 AUCKLAND
015 D010039 NEW ZEALAND
015 E040039 X
015 A000040 STANBIC IBTC BANK PLC
015 B000040 S
015 C010040 LAGOS
015 D010040 NIGERIA
      PAGE  7
015 E040040 X
015 A000041 NORDEA BANK NORGE ASA
015 B000041 S
015 C010041 OSLO
015 D010041 NORWAY
015 E040041 X
015 A000042 CITIBANK DEL PERU S.A.
015 B000042 S
015 C010042 LIMA
015 D010042 PERU
015 E040042 X
015 A000043 HSBC LIMITED,PHILIPPIINE BRANCH
015 B000043 S
015 C010043 TAGUIG CITY
015 D010043 PHILIPPINES
015 E040043 X
015 A000044 BANK HANDLOWY W WARSZAWIE SA
015 B000044 S
015 C010044 WARSAW
015 D010044 POLAND
015 E040044 X
015 A000045 BNP PARIBAS SECURITIES SERVICES
015 B000045 S
015 C010045 PANTIN
015 D010045 PORTUGAL
015 E040045 X
015 A000046 HSBC BANK MIDDLE EAST LIMITED, QATAR BRANCH
015 B000046 S
015 C010046 JERSEY
015 D010046 QATAR
015 E040046 X
015 A000047 ING BANK N.V., BUCHAREST BRANCH
015 B000047 S
015 C010047 BUCHAREST
015 D010047 ROMANIA
015 E040047 X
015 A000048 ZAO CITIBANK
015 B000048 S
015 C010048 MOSCOW
015 D010048 RUSSIA
015 E040048 X
015 A000049 HSBC SAUDI ARABIA LIMITED
015 B000049 S
015 C010049 RIYADH
015 D010049 SAUDI ARABIA
015 E040049 X
015 A000050 STANDARD CHARTERED BANK SINGAPORE BRANCH
015 B000050 S
015 C010050 SINGAPORE
015 D010050 SINGAPORE
015 E040050 X
      PAGE  8
015 A000051 ING BANK NV, BRATISLAVA BRANCH
015 B000051 S
015 C010051 BRATISLAVA
015 D010051 SLOVAKIA
015 E040051 X
015 A000052 STANDARD BANK OF SOUTH AFRICA LIMITED
015 B000052 S
015 C010052 JOHANNESBURG
015 D010052 SOUTH AFRICA
015 E040052 X
015 A000053 CITIBANK KOREA INC
015 B000053 S
015 C010053 SEOUL
015 D010053 SOUTH KOREA
015 E040053 X
015 A000054 BANCO BILBAO VIZCAYA AREGENTARIA SA
015 B000054 S
015 C010054 MADRID
015 D010054 SPAIN
015 E040054 X
015 A000055 HSBC, SRI LANKA BRANCH
015 B000055 S
015 C010055 COLOMBO
015 D010055 SRI LANKA
015 E040055 X
015 A000056 SKANDINAVISKA ENSKILDA BANKEN AB(PUB)
015 B000056 S
015 C010056 STOCKHOLM
015 D010056 SWEDEN
015 E040056 X
015 A000057 CREDIT SUISSE AG
015 B000057 S
015 C010057 ZURICH
015 D010057 SWITZERLAND
015 E040057 X
015 A000058 BANK OF TAIWAN
015 B000058 S
015 C010058 TAIPEI
015 D010058 TAIWAN
015 E040058 X
015 A000059 HSBC LIMITED, THAILAND BRANCH
015 B000059 S
015 C010059 BANGKOK
015 D010059 THAILAND
015 E040059 X
015 A000060 CITIBANK ANONIM SIRKETI
015 B000060 S
015 C010060 ISTANBUL
015 D010060 TURKEY
015 E040060 X
015 A000061 HSBC BANK MIDDLE EAST LIMITED
      PAGE  9
015 B000061 S
015 C010061 DUBAI
015 D010061 UNITED ARAB EMIRATES
015 E040061 X
015 A000062 HSBC BANK PLC
015 B000062 S
015 C010062 LONDON
015 D010062 UNITED KINGDOM
015 E040062 X
015 A000063 CITIBANK, N.A., CARACAS BRANCH
015 B000063 S
015 C010063 CARACAS
015 D010063 VENEZUELA
015 E040063 X
015 A000064 HSBC BANK (VIETNAM) LTD
015 B000064 S
015 C010064 HO CHI MINH CITY
015 D010064 VIETNAM
015 E040064 X
018  000000 Y
019 A000000 Y
019 B000000   55
019 C000000 PIONEERFDS
020 C000001      0
020 C000002      0
020 C000003      0
020 C000004      0
020 C000005      0
020 C000006      0
020 C000007      0
020 C000008      0
020 C000009      0
020 C000010      0
021  000000        0
022 A000001 BROWN BROTHERS HARRIMAN & CO.
022 B000001 13-4973745
022 C000001     36418
022 D000001      1065
022 A000002 BNY MELLON CAPITAL MARKETS, INC.
022 B000002 23-2384947
022 C000002     16609
022 D000002     14543
022 A000003 J.P. MORGAN SECURITIES INC.
022 B000003 13-3379014
022 C000003      8465
022 D000003     10397
022 A000004 RBC CAPITAL MARKETS, INC.
022 B000004 00-0000000
022 C000004      7304
022 D000004      8065
022 A000005 CLEARVIEW TRADING ADVISORS, INC.
      PAGE  10
022 B000005 14-1981175
022 C000005      6461
022 D000005      1507
022 A000006 GEORGE K. BAUM & COMPANY
022 B000006 43-1661917
022 C000006      2015
022 D000006         0
022 A000007 RAYMOND JAMES (USA) LTD.
022 B000007 22-3030928
022 C000007         0
022 D000007       745
022 A000008 JANNEY MONTGOMERY CAPITAL MARKETS
022 B000008 00-0000000
022 C000008         0
022 D000008       508
022 C000009         0
022 D000009         0
022 C000010         0
022 D000010         0
023 C000000      77271
023 D000000      36830
024  000000 N
025 D000001       0
025 D000002       0
025 D000003       0
025 D000004       0
025 D000005       0
025 D000006       0
025 D000007       0
025 D000008       0
026 A000000 Y
026 B000000 Y
026 C000000 N
026 D000000 Y
026 E000000 N
026 F000000 N
026 G010000 N
026 G020000 Y
026 H000000 N
027  000000 N
028 A010000         0
028 A020000         0
028 A030000         0
028 A040000         0
028 B010000         0
028 B020000         0
028 B030000         0
028 B040000         0
028 C010000         0
028 C020000         0
028 C030000         0
      PAGE  11
028 C040000         0
028 D010000         0
028 D020000         0
028 D030000         0
028 D040000         0
028 E010000         0
028 E020000         0
028 E030000         0
028 E040000         0
028 F010000         0
028 F020000         0
028 F030000         0
028 F040000         0
028 G010000         0
028 G020000         0
028 G030000         0
028 G040000         0
028 H000000         0
030 A000000      0
030 B000000  0.00
030 C000000  0.00
031 A000000      0
031 B000000      0
032  000000      0
033  000000      0
035  000000      0
036 B000000      0
038  000000      0
042 A000000   0
042 B000000   0
042 C000000   0
042 D000000   0
042 E000000   0
042 F000000   0
042 G000000   0
042 H000000   0
043  000000      0
044  000000      0
045  000000 Y
046  000000 N
047  000000 Y
048  000000  0.600
048 A010000        0
048 A020000 0.000
048 B010000        0
048 B020000 0.000
048 C010000        0
048 C020000 0.000
048 D010000        0
048 D020000 0.000
048 E010000        0
      PAGE  12
048 E020000 0.000
048 F010000        0
048 F020000 0.000
048 G010000        0
048 G020000 0.000
048 H010000        0
048 H020000 0.000
048 I010000        0
048 I020000 0.000
048 J010000        0
048 J020000 0.000
048 K010000        0
048 K020000 0.000
049  000000 N
050  000000 N
051  000000 N
052  000000 N
053 A000000 N
054 A000000 Y
054 B000000 Y
054 C000000 Y
054 D000000 N
054 E000000 N
054 F000000 N
054 G000000 N
054 H000000 Y
054 I000000 N
054 J000000 Y
054 K000000 N
054 L000000 N
054 M000000 Y
054 N000000 N
054 O000000 N
055 A000000 N
055 B000000 N
056  000000 N
057  000000 N
058 A000000 N
059  000000 Y
060 A000000 Y
060 B000000 Y
061  000000        0
062 A000000 Y
062 B000000   0.0
062 C000000   0.0
062 D000000   0.0
062 E000000   0.0
062 F000000   0.0
062 G000000   0.0
062 H000000   0.0
062 I000000   0.0
      PAGE  13
062 J000000   0.0
062 K000000   0.0
062 L000000   0.0
062 M000000   0.0
062 N000000   0.0
062 O000000 126.5
062 P000000   0.0
062 Q000000   0.7
062 R000000   0.0
063 A000000   0
063 B000000 21.1
064 A000000 Y
064 B000000 Y
065  000000 N
066 A000000 N
067  000000 N
068 A000000 N
068 B000000 N
069  000000 N
070 A010000 Y
070 A020000 N
070 B010000 N
070 B020000 N
070 C010000 Y
070 C020000 N
070 D010000 N
070 D020000 N
070 E010000 Y
070 E020000 N
070 F010000 N
070 F020000 N
070 G010000 Y
070 G020000 N
070 H010000 N
070 H020000 N
070 I010000 N
070 I020000 N
070 J010000 Y
070 J020000 Y
070 K010000 Y
070 K020000 N
070 L010000 N
070 L020000 N
070 M010000 N
070 M020000 N
070 N010000 N
070 N020000 N
070 O010000 Y
070 O020000 N
070 P010000 Y
070 P020000 N
      PAGE  14
070 Q010000 N
070 Q020000 N
070 R010000 N
070 R020000 N
071 A000000     76483
071 B000000     89746
071 C000000    393387
071 D000000   19
072 A000000 12
072 B000000    26830
072 C000000        0
072 D000000        0
072 E000000        0
072 F000000     2409
072 G000000      208
072 H000000        0
072 I000000       27
072 J000000        6
072 K000000        0
072 L000000       12
072 M000000       12
072 N000000        0
072 O000000        0
072 P000000        0
072 Q000000        0
072 R000000       57
072 S000000       25
072 T000000        0
072 U000000        0
072 V000000        0
072 W000000      374
072 X000000     3130
072 Y000000        0
072 Z000000    23700
072AA000000       23
072BB000000        0
072CC010000        0
072CC020000    29260
072DD010000    25766
072DD020000        0
072EE000000        0
073 A010000   1.1400
073 A020000   0.0000
073 B000000   0.0000
073 C000000   0.0000
074 A000000     9447
074 B000000        0
074 C000000        0
074 D000000   383922
074 E000000        0
074 F000000        0
      PAGE  15
074 G000000        0
074 H000000        0
074 I000000        0
074 J000000     2540
074 K000000        0
074 L000000     8252
074 M000000      101
074 N000000   404262
074 O000000     1029
074 P000000      198
074 Q000000        0
074 R010000        0
074 R020000        0
074 R030000        0
074 R040000      163
074 S000000   101000
074 T000000   301872
074 U010000    22647
074 U020000        0
074 V010000    13.33
074 V020000     0.00
074 W000000   0.0000
074 X000000     5473
074 Y000000        0
075 A000000        0
075 B000000   301847
076  000000    14.90
077 A000000 Y
077 B000000 Y
077 C000000 N
077 D000000 N
077 E000000 N
077 F000000 N
077 G000000 N
077 H000000 N
077 I000000 N
077 J000000 N
077 K000000 Y
077 L000000 N
077 M000000 N
077 N000000 N
077 O000000 N
077 P000000 N
077 Q010000 N
077 Q020000 N
077 Q030000 N
078  000000 N
080 A000000 ICI MUTUAL INSURANCE COMPANY
080 C000000    45000
081 A000000 Y
081 B000000  55
      PAGE  16
082 A000000 Y
082 B000000        0
083 A000000 N
083 B000000        0
084 A000000 N
084 B000000        0
085 A000000 N
085 B000000 N
086 A010000     83
086 A020000   1128
086 B010000      0
086 B020000      0
086 C010000      0
086 C020000      0
086 D010000      0
086 D020000      0
086 E010000      0
086 E020000      0
086 F010000      0
086 F020000      0
087 A010000 COMMON STOCK
087 A020000 723763108
087 A030000 MHI
087 B010000 PREFERRED STOCK - SERIES A
087 B020000 723763207
087 C010000 PREFERRED STOCK - SERIES B
087 C020000 723763306
088 A000000 N
088 B000000 N
088 C000000 N
088 D000000 Y
SIGNATURE   MARK BRADLEY
TITLE       TREASURER