mhisoi.htm

                                 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 811-21321


                         Pioneer Municipal High Income Trust
               (Exact name of registrant as specified in charter)


                       60 State Street, Boston, MA 02109
              (Address of principal executive offices) (ZIP code)


            Terrence J. Cullen, Pioneer Investment Management, Inc.,
                       60 State Street, Boston, MA 02109
                    (Name and address of agent for service)


Registrant's telephone number, including area code:  (617) 742-7825


Date of fiscal year end:  April 30

Date of reporting period:  July 31, 2017

Form N-Q is to be used by management investment companies, other than small
business investment companies registered on Form N-5 (239.24 and 274.5 of this
chapter), to file reports with the Commission, not later than 60 days after
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 Secretary, Securities and Exchange Commission, 450 Fifth Street, NW,
Washington, DC 20549-0609.  The OMB has reviewed this collection of information
under the clearance requirements of 44 U.S.C. ss. 3507.


<PAGE>
ITEM 1. Schedule of Investments.

File the schedules as of the close of the reporting period as set forth in
ss. 210.12-12  12-14 of Regulation S-X [17 CFR 210.12-12  12-14]. The
schedules need not be audited.





   
Pioneer Municipal
   
High Income Trust
     
     
     
     
     
     
     
   
NQ | July 31, 2017
     
     
   
Ticker Symbol: MHI





 
Principal
Amount
USD ($)
   
Value
 
   
TAX EXEMPT OBLIGATIONS -  132.9% of Net Assets (a)
   
   
Alabama - 1.5%
   
 
4,500,000
Huntsville-Redstone Village Special Care Facilities Financing Authority, Redstone Village Project, 5.5%, 1/1/43
 
$4,292,685
 
   
Arizona - 0.7%
   
 
2,250,000
City of Phoenix, AZ, Industrial Development Authority, 3rd & Indian School Assisted Living Project, 5.4%, 10/1/36
 
$2,158,043
 
24,000
County of Pima, AZ, Industrial Development Authority, Arizona Charter Schools Project, Series C, 6.75%, 7/1/31
 
24,141
       
$2,182,184
   
California - 9.9%
   
 
10,000,000(b)
California County Tobacco Securitization Agency, Capital Appreciation, Stanislaus County Subordinated, Series A, 6/1/46
 
$1,404,500
 
1,450,000
California Enterprise Development Authority, Sunpower Corp., 8.5%, 4/1/31
 
1,589,432
 
530,000
California Municipal Finance Authority, Santa Rosa Academy Project, Series A, 5.75%, 7/1/30
 
571,006
 
5,000,000
California Pollution Control Financing Authority, 5.0%, 7/1/37 (144A)
 
5,008,550
 
1,740,000
California School Finance Authority, Classical Academies Project,
Series A, 7.375%, 10/1/43
 
2,028,753
 
1,400,000
California Statewide Communities Development Authority, Lancer Plaza Project, 5.625%, 11/1/33
 
1,502,200
 
568,006(c)
California Statewide Communities Development Authority, Microgy Holdings Project, 9.0%, 12/1/38
 
6
 
7,885,000(d)
Lehman Municipal Trust Receipts, RIB, 11.821%, 11/1/39 (144A) (AGM Insured)
 
8,595,123
 
2,000,000(e)
Los Angeles Community College District, Series G, 4.0%, 8/1/39
 
2,116,360
 
1,605,000
Los Angeles County Metropolitan Transportation Authority, Series A, 5.0%, 7/1/30
 
1,981,677
 
1,000,000
River Islands Public Financing Authority, Community Facilities, 5.5%, 9/1/45
 
1,065,800
 
3,000,000
Tobacco Securitization Authority of Southern California, Series A-1, 5.0%, 6/1/37
 
3,005,400
       
$28,868,807
   
Colorado - 0.6%
   
 
1,500,000
Colorado Educational & Cultural Facilities Authority, Rocky Mountain Classical Academy Project, 8.0%, 9/1/43
 
$1,669,455
 
   
Connecticut - 3.2%
   
 
2,915,000
Mohegan Tribal Finance Authority, 7.0%, 2/1/45 (144A)
 
$3,083,895
 
5,000,000(e)
State of Connecticut, Series E, 4.0%, 9/1/30
 
5,214,000
 
1,000,000
Town of Hamden, CT, Whitney Center Project, Series A, 7.75%, 1/1/43
 
1,034,980
       
$9,332,875
   
District of Columbia - 5.1%
   
 
4,365,000
District of Columbia Tobacco Settlement Financing Corp., Asset-Backed, 6.5%, 5/15/33
 
$4,877,276
 
6,000,000
District of Columbia Tobacco Settlement Financing Corp., Asset-Backed, 6.75%, 5/15/40
 
6,479,160
 
25,000,000(b)
District of Columbia Tobacco Settlement Financing Corp., Capital
Appreciation, Asset-Backed, Series A, 6/15/46
 
3,526,500
       
$14,882,936
   
Florida - 4.9%
   
 
1,500,000
Alachua County Health Facilities Authority, Terraces Bonita Springs Project, Series A, 8.125%, 11/15/41
 
$1,730,325
 
1,500,000
Alachua County Health Facilities Authority, Terraces Bonita Springs Project, Series A, 8.125%, 11/15/46
 
1,726,515
 
2,260,000(c)
County of Liberty, FL, Twin Oaks Project, 8.25%, 7/1/28
 
201,344
 
2,500,000(f)
County of Miami-Dade, FL, Aviation Revenue, Series B, 5.5%, 10/1/41
 
2,739,650
 
5,000,000
Florida's Turnpike Enterprise, Department of Transportation, Series A, 4.0%, 7/1/34
 
5,287,700
 
1,000,000(f)
Hillsborough County Industrial Development Authority, Various Health Facilities, 8.0%, 8/15/32
 
1,149,560
 
2,250,000(c)(d)
St. Johns County Industrial Development Authority, Glenmoor Project, Series A, 1.344%, 1/1/49
 
1,437,750
 
832,581(c)
St. Johns County Industrial Development Authority, Glenmoor Project, Series B, 2.5%, 1/1/49
 
8
       
$14,272,852
   
Georgia - 2.6%
   
 
2,500,000
Clayton County Development Authority, Delta Air Lines, Series A, 8.75%, 6/1/29
 
$2,922,950
 
4,000,000
Private Colleges & Universities Authority, Emory University, Series A, 5.0%, 10/1/43
 
4,607,560
       
$7,530,510
   
Idaho - 1.7%
   
 
5,000,000
Power County Industrial Development Corp., FMC Corp. Project, 6.45%, 8/1/32
 
$5,008,650
 
   
Illinois - 14.8%
   
 
2,087,000(d)
Illinois Finance Authority, Clare Oaks Project, Series B, 4.0%, 11/15/52
 
$1,467,224
 
1,305,000(b)
Illinois Finance Authority, Clare Oaks Project, Series C-1, 11/15/52
 
44,892
 
Principal
Amount
USD ($)
   
Value
   
Illinois - (continued)
   
 
261,000(b)
Illinois Finance Authority, Clare Oaks Project, Series C-2, 11/15/52
 
 $                      68,486
 
261,000(b)
Illinois Finance Authority, Clare Oaks Project, Series C-3, 11/15/52
 
42,386
 
2,000,000(c)
Illinois Finance Authority, Greenfields of Geneva Project, Series A, 8.125%, 2/15/40
 
1,160,000
 
2,500,000(c)
Illinois Finance Authority, Greenfields of Geneva Project, Series A, 8.25%, 2/15/46
 
1,450,000
 
2,000,000
Illinois Finance Authority, Northwestern Memorial Hospital, Series A, 6.0%, 8/15/39
 
2,187,680
 
2,500,000
Illinois Finance Authority, Roosevelt University Project, 6.5%, 4/1/39
 
2,649,125
 
3,865,000(f)
Illinois Finance Authority, Swedish Covenant, Series A, 6.0%, 8/15/38
 
4,340,472
 
1,700,000
Illinois Finance Authority, The Admiral at the Lake Project, Series A, 7.625%, 5/15/25
 
1,892,797
 
600,000
Illinois Finance Authority, The Admiral at the Lake Project, Series A, 7.75%, 5/15/30
 
665,796
 
2,000,000
Illinois Finance Authority, The Admiral at the Lake Project, Series A, 8.0%, 5/15/40
 
2,221,240
 
3,200,000
Illinois Finance Authority, The Admiral at the Lake Project, Series A, 8.0%, 5/15/46
 
3,547,904
 
1,000,000
Metropolitan Pier & Exposition Authority, McCormick Place, Series B, 5.0%, 6/15/52 (ST APPROP Insured)
 
1,004,660
 
1,485,000(b)(g)
Metropolitan Pier & Exposition Authority, McCormick Place, Series B, 5.65%, 6/15/22 (NATL Insured)
 
1,792,128
 
15,395,000(b)
Metropolitan Pier & Exposition Authority, McCormick Place, Series B, 5.65%, 6/15/22 (NATL Insured)
 
17,665,609
 
1,030,000
Southwestern Illinois Development Authority, Village of Sauget Project, 5.625%, 11/1/26
 
915,042
       
$43,115,441
   
Indiana - 2.1%
   
 
250,000
City of Carmel, IN, Barrington Carmel Project, Series A, 7.0%, 11/15/32
 
$272,790
 
750,000
City of Carmel, IN, Barrington Carmel Project, Series A, 7.125%, 11/15/42
 
819,045
 
500,000
City of Carmel, IN, Barrington Carmel Project, Series A, 7.125%, 11/15/47
 
544,820
 
1,000,000
Indiana Finance Authority, Multipurpose Educational Facilities, Avondale Meadows Academy Project, 5.375%, 7/1/47
 
978,900
 
3,570,000(f)
Vigo County Hospital Authority, Union Hospital, Inc., 5.8%, 9/1/47 (144A)
 
3,584,637
       
$6,200,192
   
Kentucky - 2.0%
   
 
5,000,000(f)
Kentucky Economic Development Finance Authority, Owensboro Medical Health System, Series A, 6.375%, 6/1/40
 
$5,731,150
 
   
Louisiana - 1.4%
   
 
2,260,000
Jefferson Parish Hospital Service District No. 2, East Jefferson General Hospital, 6.375%, 7/1/41
 
$2,476,983
 
1,500,000
Louisiana Local Government Environmental Facilities & Community Development Authority, Westlake Chemical Corp. Project, 6.75%, 11/1/32
 
1,516,845
       
$3,993,828
   
Maine - 2.3%
   
 
1,500,000
Maine Health & Higher Educational Facilities Authority, Maine General Medical Center, 7.5%, 7/1/32
 
$1,705,995
 
4,480,000
Maine Turnpike Authority, Series A, 5.0%, 7/1/42
 
5,034,848
       
$6,740,843
   
Maryland - 0.5%
   
 
1,435,000
Maryland Health & Higher Educational Facilities Authority, City Neighbors, Series A, 6.75%, 7/1/44
 
$1,581,069
 
   
Massachusetts - 10.3%
   
 
7,000,000(b)
Massachusetts Bay Transportation Authority, Series A, 7/1/28
 
$5,100,970
 
1,550,000
Massachusetts Development Finance Agency, Harvard University,
Series A, 5.0%, 7/15/36
 
2,024,734
 
5,000,000
Massachusetts Development Finance Agency, Harvard University,
Series A, 5.0%, 7/15/40
 
6,601,000
 
975,158
Massachusetts Development Finance Agency, Linden Ponds, Inc.,
Series A-1, 5.5%, 11/15/46
 
915,196
 
1,000,000
Massachusetts Development Finance Agency, Partners Healthcare System, 4.0%, 7/1/41
 
1,041,880
 
7,100,000
Massachusetts Development Finance Agency, WGBH Foundation,
Series A, 5.75%, 1/1/42 (AMBAC Insured)
 
9,765,127
 
380,000
Massachusetts Educational Financing Authority, Series I, 6.0%, 1/1/28
 
402,298
 
3,100,000
Massachusetts Health & Educational Facilities Authority, Massachusetts Institute of Technology, Series K, 5.5%, 7/1/32
 
4,159,890
       
$30,011,095
   
Michigan - 3.1%
   
 
895,000(c)
Doctor Charles Drew Academy, Certificate of Participation, 5.7%, 11/1/36
 
$     44,723
 
Principal
Amount
USD ($)
   
Value
   
Michigan - (continued)
   
 
2,640,000
Michigan State University, Series A, 5.0%, 8/15/41
 
 $                      3,041,333
 
6,100,000
Michigan Tobacco Settlement Finance Authority, Series A, 6.0%, 6/1/48
 
5,855,817
       
$8,941,873
   
Minnesota - 4.5%
   
 
2,000,000
Bloomington Port Authority, Radisson Blu Mall of America, 9.0%, 12/1/35
 
$2,113,320
 
1,000,000
City of Ham Lake, MN, DaVinci Academy Project, Series A, 5.0%, 7/1/47
 
1,003,530
 
2,300,000
City of Rochester, MN, Mayo Clinic, Series B, 5.0%, 11/15/35
 
2,970,266
 
6,000,000(e)
State of Minnesota, Series B, 4.0%, 8/1/27
 
6,971,880
       
$13,058,996
   
Montana - 0.0%
   
 
1,600,000(c)
Two Rivers Authority, Inc., 7.375%, 11/1/27
 
$     46,848
 
   
New Jersey - 2.0%
   
 
3,000,000
New Jersey Economic Development Authority, Continental Airlines, 5.25%, 9/15/29
 
$3,265,320
 
2,500,000
New Jersey Economic Development Authority, Continental Airlines, 5.75%, 9/15/27
 
2,755,425
       
$6,020,745
   
New Mexico - 1.5%
   
 
1,500,000
County of Otero, NM, Otero County Jail Project, 6.0%, 4/1/23
 
$1,462,350
 
2,960,000
County of Otero, NM, Otero County Jail Project, 6.0%, 4/1/28
 
2,826,504
       
$4,288,854
   
New York - 5.6%
   
 
2,000,000(f)
Hempstead Local Development Corp., Molloy College Project, 5.75%, 7/1/39
 
$2,182,700
 
1,000,000(f)
New York State Dormitory Authority, Orange Medical Center, 6.125%, 12/1/29
 
1,069,010
 
7,500,000
New York State Dormitory Authority, Series C, 5.0%, 3/15/39
 
8,563,800
 
1,500,000
New York State Dormitory Authority, Trustees of Columbia University, 5.0%, 10/1/45
 
2,029,320
 
2,497,540
Westchester County Healthcare Corp., Series A, 5.0%, 11/1/44
 
2,676,763
       
$16,521,593
   
North Dakota - 1.0%
   
 
2,525,000(f)
County of Burleigh, ND, St. Alexius Medical Center, 5.0%, 7/1/38
 
$2,967,935
 
   
Ohio - 4.8%
   
 
1,325,000
Buckeye Tobacco Settlement Financing Authority, Asset-Backed,
Series A-2, 5.75%, 6/1/34
 
$1,252,138
 
2,500,000
Buckeye Tobacco Settlement Financing Authority, Asset-Backed,
Series A-2, 5.875%, 6/1/47
 
2,355,050
 
1,700,000
Buckeye Tobacco Settlement Financing Authority, Asset-Backed,
Series A-2, 6.0%, 6/1/42
 
1,585,284
 
6,000,000
Buckeye Tobacco Settlement Financing Authority, Asset-Backed,
Series A-2, 6.5%, 6/1/47
 
5,917,620
 
2,500,000(e)
State of Ohio, Common Schools, Series B, 5.0%, 6/15/29
 
2,916,000
       
$14,026,092
   
Oregon - 2.4%
   
 
1,000,000
Oregon Health & Science University, Series A, 5.0%, 7/1/42
 
$1,173,240
 
5,190,000
Oregon Health & Science University, Series E, 5.0%, 7/1/32
 
5,837,816
       
$7,011,056
   
Pennsylvania - 7.6%
   
 
1,550,000
Allegheny County Hospital Development Authority, South Hills Health, Series A, 5.125%, 5/1/25
 
$1,553,146
 
3,000,000
Geisinger Authority, Geisinger Health System, Series A-1, 5.0%, 2/15/45
 
3,443,520
 
1,280,000(c)
Langhorne Manor Borough Higher Education Authority, Lower Bucks Hospital, 7.35%, 7/1/22
 
313,626
 
5,000,000
Pennsylvania Economic Development Financing Authority, USG Corp. Project, 6.0%, 6/1/31
 
5,009,000
 
500,000
Philadelphia Authority for Industrial Development, Greater Philadelphia Health Action, Inc., Project, Series A, 6.625%, 6/1/50
 
519,885
 
2,000,000
Philadelphia Authority for Industrial Development, Nueva Esperanze, Inc., 8.2%, 12/1/43
 
2,291,120
 
1,000,000
Philadelphia Authority for Industrial Development, Performing Arts Charter School Project, 6.5%, 6/15/33 (144A)
 
1,069,660
 
2,000,000
Philadelphia Authority for Industrial Development, Performing Arts Charter School Project, 6.75%, 6/15/43 (144A)
 
2,147,160
 
5,900,000
Philadelphia Hospitals & Higher Education Facilities Authority, Temple University Health System, Series A, 5.0%, 7/1/34
 
5,905,487
       
$22,252,604
   
Puerto Rico - 1.3%
   
 
6,255,000(c)(e)
Commonwealth of Puerto Rico, Series A, 8.0%, 7/1/35
 
$3,753,000
 
   
Rhode Island - 1.9%
   
 
5,900,000(c)
Central Falls Detention Facility Corp., 7.25%, 7/15/35
 
$1,455,707
 
2,000,000
Rhode Island Health & Educational Building Corp., Brown University, Series A, 4.0%, 9/1/37
 
2,187,440
 
Principal
Amount
USD ($)
   
Value
   
Rhode Island - (continued)
   
 
1,500,000(f)
Rhode Island Health & Educational Building Corp., Tockwatten Home Issue, 8.375%, 1/1/46
 
$1,846,140
       
$5,489,287
   
Texas - 13.0%
   
 
1,000,000
Arlington Higher Education Finance Corp., Universal Academy, Series A, 7.0%, 3/1/34
 
$1,011,980
 
2,500,000(f)
Central Texas Regional Mobility Authority, Sub Lien, 6.75%, 1/1/41
 
2,964,000
 
2,490,000(e)
County of Harris, TX, Series A, 5.0%, 10/1/26
 
3,059,662
 
5,000,000(e)
Goose Creek Consolidated Independent School District, Series C, 4.0%, 2/15/26 (PSF-GTD Insured)
 
5,703,850
 
725,078(c)
Gulf Coast Industrial Development Authority, Microgy Holdings Project, 7.0%, 12/1/36
 
7
 
3,785,000
North Texas Tollway Authority, Series A, 5.0%, 1/1/35
 
4,314,635
 
10,000,000(f)
North Texas Tollway Authority, Series F, 5.75%, 1/1/33
 
10,202,900
 
1,500,000(f)
Red River Health Facilities Development Corp., MRC Crestview, Series A, 8.0%, 11/15/41
 
1,913,190
 
3,960,000(c)(h)
Sanger Industrial Development Corp., Texas Pellets Project, Series B, 8.0%, 7/1/38
 
1,881,000
 
1,000,000
Tarrant County Cultural Education Facilities Finance Corp., Mirador Project, Series A, 4.875%, 11/15/48
 
839,810
 
1,000,000
Tarrant County Cultural Education Facilities Finance Corp., Mirador Project, Series A, 5.0%, 11/15/55
 
837,770
 
2,000,000(f)
Tarrant County Cultural Education Facilities Finance Corp., MRC Crestview Project, 8.0%, 11/15/34
 
2,435,960
 
2,500,000
Travis County Health Facilities Development Corp., Longhorn Village Project, 7.125%, 1/1/46
 
2,700,225
       
$37,864,989
   
Utah - 0.4%
   
 
1,000,000
Salt Lake City Corp., Airport Revenue, Series B, 5.0%, 7/1/35
 
$1,182,670
 
   
Virginia - 4.9%
   
 
2,200,000(e)
County of Arlington, VA, 4.0%, 8/15/35
 
$2,425,566
 
1,415,000(e)
County of Fairfax, VA, Series A, 4.0%, 10/1/33
(ST AID WITHHLDG Insured)
 
1,566,730
 
5,000,000
University of Virginia, Series A, 5.0%, 4/1/42
 
5,977,200
 
4,000,000
Upper Occoquan Sewage Authority, 4.0%, 7/1/41
 
4,288,680
       
$14,258,176
   
Washington - 9.8%
   
 
3,745,000
City of Seattle, WA, Water System Revenue, 4.0%, 8/1/32
 
$4,101,224
 
2,500,000(e)
King County Issaquah School District No. 411, 4.0%, 12/1/31
(SCH BD GTY Insured)
 
2,745,575
 
14,315,000(b)(e)
State of Washington, Motor Vehicle Sales Tax, Series C, 6/1/22
(NATL Insured)
 
13,333,134
 
2,500,000
University of Washington, Series B, 5.0%, 6/1/29
 
2,993,325
 
3,795,000(f)
Washington State Health Care Facilities Authority, Fred Hutchinson Cancer Research Center, Series A, 6.0%, 1/1/33
 
4,148,960
 
1,150,000
Washington State Housing Finance Commission, Mirabella Project, Series A, 6.75%, 10/1/47 (144A)
 
1,257,215
       
$28,579,433
   
West Virginia - 0.6%
   
 
2,000,000(c)
City of Philippi, WV, Alderson-Broaddus College, Inc., Series A, 7.75%, 10/1/44
 
$1,200,000
 
725,000(c)
West Virginia Hospital Finance Authority, Highland Hospital Group, 9.125%, 10/1/41
 
670,118
       
$1,870,118
   
Wisconsin - 4.9%
   
 
5,000,000
Public Finance Authority, Glenridge Palmer Ranch, Series A, 8.25%, 6/1/46
 
$5,913,750
 
750,000
Public Finance Authority, Roseman University Health Sciences Project, 5.875%, 4/1/45
 
787,410
 
1,500,000
Public Finance Authority, SearStone CCRC Project, Series A, 8.625%, 6/1/47 (144A)
 
1,730,745
 
5,000,000
Wisconsin Department of Transportation, Series A, 5.0%, 7/1/28
 
5,991,150
       
$14,423,055
   
TOTAL TAX EXEMPT OBLIGATIONS
   
   
(Cost $372,732,153)
 
$387,971,896
 
   
MUNICIPAL COLLATERALIZED DEBT OBLIGATION -  0.0% of Net Assets
   
 
10,000,000(d)
Non-Profit Preferred Funding Trust I, Series E, 0.0%, 9/15/37 (144A)
 
$170,000
 
   
TOTAL MUNICIPAL COLLATERALIZED DEBT OBLIGATION
   
   
(Cost  $10,000,000)
 
$170,000
 
   
TOTAL INVESTMENTS IN SECURITIES - 132.9%
   
   
(Cost - $382,732,153) (i)
 
$388,141,896
   
OTHER ASSETS AND LIABILITIES - 1.7%
 
$4,840,136
   
PREFERRED SHARES AT REDEMPTION VALUE,
INCLUDING DIVIDENDS PAYABLE - (34.6)%
 
$(100,993,669)
   
NET ASSETS APPLICABLE TO
COMMON SHAREOWNERS - 100.0%
 
$291,988,363
 

(144A)
Security is exempt from registration under Rule 144A of the Securities Act of 1933. Such securities may be resold normally to qualified institutional buyers in a transaction exempt from registration. At July 31, 2017, the value of these securities amounted to $26,646,985, or 9.1% of net assets applicable to common shareowners.
   
RIB
Residual Interest Bond is purchased in a secondary market.  The interest rate is subject to change periodically and inversely based upon prevailing market rates. The interest rate shown is the rate at July 31, 2017.
Amount rounds to less than 0.1%.

   
(a)
Consists of Revenue Bonds unless otherwise indicated.
   
(b)
Security issued with a zero coupon. Income is recognized through accretion of discount.
   
(c)
Security is in default.
   
(d)
The interest rate is subject to change periodically. The interest rate shown is the rate at July 31, 2017.
   
(e)
Represents a General Obligation Bond.
   
(f)
Prerefunded bonds have been collateralized by U.S. Treasury or U.S. Government Agency securities which are held in escrow to pay interest and principal on the tax exempt issue and to retire the bonds in full at the earliest refunding date.
   
(g)
Escrow to maturity.
   
(h)
Security is valued using fair value methods (other than prices supplied by independent pricing services).
   
(i)
At July 31, 2017, the net unrealized appreciation on investments based on cost for federal tax purposes of $375,481,356 was as follows:
   
 
Aggregate gross unrealized appreciation for all investments in which there
   
 
     is an excess of value over tax cost
 
$                      35,092,002
 
Aggregate gross unrealized depreciation for all investments in which there
   
 
     is an excess of tax cost over value
 
(22,431,462)
   
 
Net unrealized appreciation
$                      12,660,540

Various inputs are used in determining the value of the Trust's investments. These inputs are summarized in the three broad levels below.
 
Level 1 - quoted prices in active markets for identical securities.
Level 2 - other significant observable inputs (including quoted prices for similar securities, interest rates, prepayment speeds, credit risks, etc.).
Level 3 - significant unobservable inputs (including the Trust's own assumptions in determining fair value of investments).
 
The following is a summary of the inputs used as of July 31, 2017, in valuing the Trust's investments.
 
 
Level 1
Level 2  
Level 3
Total
 
Tax Exempt Obligations
       
Texas
    $
 $35,983,989
 $1,881,000
 $37,864,989
All Other Tax Exempt Obligations
  350,106,907
  350,106,907
Municipal Collateralized
Debt Obligation
170,000
170,000
Total
    $
 $386,260,896
 $1,881,000
 $388,141,896
 

The following is a reconciliation of assets valued using significant unobservable inputs (Level 3):

 
Tax Exempt Obligations
Balance as of 4/30/17
 $2,376,000
Realized gain (loss)
                      
Change in unrealized appreciation (depreciation)
  (493,866)
Purchases
                      
Sales
                      
Accrued discounts/premiums
  (1,134)
Transfer in and out of Level 3*
                      
Balance as of 7/31/17
 $1,881,000

*
Transfers are calculated on the beginning of period value. For the three months ended July 31, 2017, there were no transfers between Levels 1, 2 and 3.

Net change in unrealized depreciation of Level 3 investments still held and considered Level 3 at July 31, 2017: $(493,866).

ITEM 2. CONTROLS AND PROCEDURES. (a) Disclose the conclusions of the registrant's principal executive and principal financial officers, or persons performing similar functions, regarding the effectiveness of the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Act (17 CFR 270.30a-3(c))) as of a date within 90 days of the filing date of the report that includes the disclosure required by this paragraph, based on the evaluation of these controls and procedures required by Rule 30a-3(b) under the Act (17 CFR 270.30a-3(b))) and Rule 13a-15(b) or 15d-15(b) under the Exchange Act (17 CFR 240.13a-15(b) or 240.15d-15(b)). The registrant's principal executive officer and principal financial officer have concluded that the registrant's disclosure controls and procedures are effective based on their evaluation of these controls and procedures as of a date within 90 days of the filing date of this report. (b) Disclose any change in the registrant's internal controls over financial reporting (as defined in Rule 30a-3(d) under the Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that has materially affected, or is reasonably likely to materially affect, the registrant's internal control over financial reporting. There were no significant changes in the registrant's internal control over financial reporting that occurred during the second fiscal quarter of the period covered by this report that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting. ITEM 3. EXHIBITS. File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the Act (17 CFR 270.30a-2(a)), exactly as set forth below: CERTIFICATIONS I, [identify the certifying individual], certify that: 1. I have reviewed this report on Form N-Q of [identify registrant]; 2. Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to state a material fact necessary to make the statements made, in light of the circumstances under which such statements were made, not misleading with respect to the period covered by this report; 3. Based on my knowledge, the schedules of investments included in this report fairly present in all material respects the investments of the registrant as of the end of the fiscal quarter for which the report is filed; 4. The registrants other certifying officer(s) and I are responsible for establishing and maintaining disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940) and internal control over financial reporting (as defined in Rule 30a-3(d) under the Investment Company Act of 1940) for the registrant and have: (a) Designed such disclosure controls and procedures, or caused such disclosure controls and procedures to be designed under our supervision, to ensure that material information relating to the registrant, including its consolidated subsidiaries, is made known to us by others within those entities, particularly during the period in which this report is being prepared; (b) Designed such internal control over financial reporting, or caused such internal control over financial reporting to be designed under our supervision, to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles; (c) Evaluated the effectiveness of the registrants disclosure controls and procedures and presented in this report our conclusions about the effectiveness of the disclosure controls and procedures, as of a date within 90 days prior to the filing date of this report, based on such evaluation; and (d) Disclosed in this report any change in the registrants internal control over financial reporting that occurred during the registrants most recent fiscal quarter that has materially affected, or is reasonably likely to materially affect, the registrants internal control over financial reporting; and 5. The registrants other certifying officer(s) and I have disclosed to the registrants auditors and the audit committee of the registrants board of directors (or persons performing the equivalent functions): (a) All significant deficiencies and material weaknesses in the design or operation of internal control over financial reporting which are reasonably likely to adversely affect the registrants ability to record, process, summarize, and report financial information; and (b) Any fraud, whether or not material, that involves management or other employees who have a significant role in the registrants internal control over financial reporting. Date: [Signature] [Title] Filed herewith. <PAGE> SIGNATURES [See General Instruction F] 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) Pioneer Municipal High Income Trust By (Signature and Title)* /s/ Lisa M.Jones ----------------------- Lisa M.Jones, President and Chief Executive Officer Date September 27, 2017 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/ Lisa M.Jones ----------------------- Lisa M.Jones, President and Chief Executive Officer Date September 27, 2017 By (Signature and Title)* /s/ Mark E. Bradley ----------------- Mark E. Bradley, Treasurer and Chief Accounting and Financial Officer Date September 27, 2017 * Print the name and title of each signing officer under his or her signature.