OMB APPROVAL OMB Number: 3235-0578 Expires: March 31, 2006 Estimated average burden hours per response..... 20.0 UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 FORM N-Q CERTIFIED SHAREHOLDER REPORT OF REGISTERED MANAGEMENT INVESTMENT COMPANIES Investment Company Act file number 811-09223 Pioneer Municipal High Income Trust Fund; (Exact name of registrant as specified in charter) 60 State Street, Boston, MA 02109 (Address of principal executive offices) (ZIP code) Dorothy E. Bourassa, 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: October 31 Date of reporting period: January 31, 2005 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 30b1-5under the Investment Company Act of 1940 (17 CFR 270.30b-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. ITEM 1. Schedule of Investments. Pioneer Municipal High Income Trust SCHEDULE OF INVESTMENTS 1/31/05 (unaudited) Principal S&P/Moody's Amount Ratings Value TAX EXEMPT OBLIGATIONS - 126.4% of Net Assets Alabama - 3.5% 10000000 AAA/Aaa Birmingham Alabama General Obligation, 5.0%, 12/1/32 10,386,600 1500000 BBB/NR Camden Alabama Industrial Development Board, 6.125%, 12/1/24 1,625,325 12,011,925 Arizona - 7.1% 5000000 B+/Ba3 Apache County Industrial Development Authority, 5.85%, 3/1/28 4,999,600 5000000 B+/Ba3 Apache County Industrial Development Authority, 5.875%, 3/1/33 4,999,550 11630000 BB-/Ca Gila County Industrial Development Authority, 5.55%, 1/1/27 9,745,475 3000000 NR/NR Maricopa County Industrial Development Authority, 7.875%, 4/1/27 3,097,380 1000000 NR/Baa3 Pima County Industrial Development Authority, 7.25%, 7/1/31 1,069,250 500000 NR/Baa2 Yavapai County Industrial Development Authority, 6.0%, 8/1/33 531,790 24,443,045 California - 10.5% 7270000 A/A3 California State General Obligation, 5.25%, 2/1/28 7,710,126 5150000 BBB/Baa3 Golden State Tobacco Securitization Corp., 7.8%, 6/1/42 5,725,358 7000000 BBB/Baa3 Golden State Tobacco Securitization Corp., 7.875%, 6/1/42 7,815,990 4000000 AAA/Aaa Palm Desert Financing Authority Tax Allocation Revenue, 5.0%, 4/1/30 4,160,040 3000000 AAA/Aaa San Diego Unified School District, 5.0%, 7/1/25 3,165,630 2500000 AAA/Aaa University of California Revenue, 5.0%, 5/15/25 2,661,550 5000000 B+/NR Valley Health System Hospital Revenue, 6.5%, 5/15/25 4,955,450 36,194,144 Connecticut - 3.3% 2205000 BB/Ba1 Connecticut State Health & Educational Facilities Authority Revenue, 5.375%, 7/1/17 2,123,702 4400000 BB/Ba1 Connecticut State Health & Educational Facilities Authority Revenue, 5.5%, 7/1/27 4,044,304 5000000 BB+/NR Mohegan Tribe Indians Gaming Authority, 6.25%, 1/1/31 5,309,200 11,477,206 District of Columbia - 3.6% 5000000 BBB/Baa3 District of Columbia Tobacco Settlement Financing Corp., 6.5%, 5/15/33 5,012,250 7325000 BBB/Baa3 District of Columbia Tobacco Settlement Financing Corp., 6.75%, 5/15/40 7,424,766 12,437,016 Florida - 4.3% 2000000 NR/NR Beacon Lakes Community Development, 6.9%, 5/1/35 2,104,360 2300000 CC/C Hillsborough County Aviation Authority Revenue, 6.8%, 1/1/24 1,242,000 1650000 BBB-/Baa2Polk County Industrial Development Revenue, 5.85%, 12/1/30 1,691,943 2000000 NR/NR Seminole Tribe Convention-A, 8.95%, 10/1/33 2,263,380 1900000 NR/NR Seminole Tribe Convention-A, 10.0%, 10/1/33 2,159,635 5000000 NR/Baa2 Tallahassee Health Facilities Revenue, 6.375%, 12/1/30 5,210,550 14,671,868 Georgia - 0.4% 1325000 NR/NR Brunswick & Glynn County Development Authority Revenue, 7.25%, 1/1/35 1,325,715 Idaho - 1.5% 5000000 BB+/Ba3 Power County Industrial Development Corp., 6.45%, 8/1/32 5,137,500 Illinois - 4.2% 1000000 NR/NR Centerpoint Intermodal Center, 8.0%, 6/15/23 (144A) 977,600 3810000 CC/C Chicago Illinois O'Hare International Airport, 6.45%, 5/1/18 1,790,700 1500000 NR/NR Illinois Health Facilities Authority Revenue, 6.9%, 11/15/33 1,517,865 16880000(a)AAA/Aaa Metropolitan Pier & Exposition Authority Dedicated State Tax Revenue, 0.0%, 6/15/22 10,243,459 14,529,624 Indiana - 1.6% 1000000 BBB+/Baa1Indiana State Development Finance Authority Revenue, 5.6%, 12/1/32 1,031,160 4300000 BB+/Caa2 Indiana State Development Finance Authority Revenue, 5.75%, 10/1/11 4,455,230 5,486,390 Principal S&P/Moody's Amount Ratings Value Kentucky - 2.3% 7050000 CC/Ca Kenton County Airport Revenue, 7.5%, 2/1/12 6,242,281 1965000 CC/Ca Kenton County Airport Revenue, 7.5%, 2/1/20 1,654,137 7,896,418 Massachusetts - 9.2% 2435000 AAA/Aaa Massachusetts Health & Educational Facilities Authority Revenue, 5.0%, 7/15/35 2,523,196 7050000 AAA/Aaa Massachusetts Health & Educational Facilities Authority Revenue, 5.125%, 7/15/37 7,391,361 1000000 AA/NR Massachusetts Health & Educational Facilities Authority Revenue, 5.25%, 10/15/33 1,061,620 3500000 BBB/Baa3 Massachusetts Health & Educational Facilities Authority Revenue, 6.25%, 7/1/22 3,756,445 5000000 BBB-/NR Massachusetts Health & Educational Facilities Authority Revenue, 6.75%, 10/1/33 5,337,000 75000 BB/NR Massachusetts State Development Finance Agency, 5.25%, 10/1/18 69,140 5000000 AAA/Aaa Massachusetts State Development Finance Agency, 5.75%, 1/1/42 6,141,050 5055000 AA-/Aa3 Massachusetts State Housing Finance Agency, 5.25%, 12/1/33 5,132,999 31,412,811 Michigan - 4.6% 1500000 BBB-/NR John Tolfree Health System Corp., 6.0%, 9/15/23 1,464,420 2000000 B/Ba3 Michigan State Hospital Finance Authority Revenue, 5.5%, 8/15/23 1,849,000 4010000 BBB-/Ba1 Michigan State Hospital Finance Authority Revenue, 6.0%, 2/1/24 3,903,775 2000000 NR/NR Michigan State Hospital Finance Authority Revenue, 6.4%, 1/1/15 2,005,320 7690000 NR/NR Wayne Charter County Michigan Special Airport Facilities Revenue, 6.75%, 12/1/15 6,720,522 15,943,037 Minnesota - 4.5% 1675000 BB/NR Duluth Economic Development Authority Health Care Facilities Revenue, 7.25%, 6/15/32 1,764,897 13260000 NR/NR Minneapolis/St. Paul Metropolitan Airports, 7.0%, 4/1/25 12,302,495 1430000 BB+/Ba1 St. Paul Housing & Redevelopment Authority, 6.625%, 11/1/17 1,441,469 15,508,861 Mississippi - 0.9% 3000000 BBB/Ba1 Mississippi Business Finance Corp. Pollution Control Revenue, 5.9%, 5/1/22 3,029,160 Missouri - 1.4% 5500000 NR/B3 St. Louis Industrial Development Authority Revenue, 7.25%, 12/15/35 4,627,920 Nevada - 1.4% 1000000 BBB-/Baa2Clark County Industrial Development Revenue, 5.45%, 3/1/38 1,064,440 1850000 B-/NR Clark County Industrial Development Revenue, 5.5%, 10/1/30 1,799,051 2000000 NR/NR Nevada State Department of Business & Industry, 7.25%, 1/1/23 2,042,000 4,905,491 New Hampshire - 0.9% 3000000 AAA/Aaa Manchester School Facilities Revenue, 5.125%, 6/1/28 3,181,110 New Jersey - 8.2% 2000000 B/Caa2 New Jersey Economic Development Authority Revenue, 6.25%, 9/15/19 1,671,020 11700000 B/Caa2 New Jersey Economic Development Authority Revenue, 6.25%, 9/15/29 9,308,169 1000000 B/Caa2 New Jersey Economic Development Authority Revenue, 6.4%, 9/15/23 829,520 6150000 B/Caa2 New Jersey Economic Development Authority Revenue, 7.0%, 11/15/30 5,327,130 10750000 BBB/Baa3 Tobacco Settlement Financing Corp., 6.75%, 6/1/39 10,926,407 28,062,246 New Mexico - 1.6% 3700000 + NR/NR New Mexico Hospital Equipment Loan Council, 6.4%, 6/1/16 3,947,974 1350000 BBB-/NR Santa Fe Educational Facilities Revenue, 5.75%, 10/1/28 1,363,838 5,311,812 New York - 5.8% 2000000 A/NR New York City Industrial Development Agency, 5.375%, 6/1/23 2,086,140 5625000 CCC/Caa2 New York City Industrial Development Agency, 6.9%, 8/1/24 4,216,950 5000000 AAA/Aaa New York City Trust Cultural Resources Revenue, 5.125%, 7/1/31 5,249,700 2000000 NR/NR Suffolk County Industrial Development Agency, 7.25%, 1/1/30 1,995,240 6000000 AAA/Aaa Triborough Bridge & Tunnel Authority Revenue, 5.25%, 11/15/30 6,458,640 20,006,670 North Carolina - 0.6% 4600000 (b)NR/NR Charlotte North Carolina Special Facilities Revenue, 7.75%, 2/1/28 2,208,000 Principal S&P/Moody's Amount Ratings Value Oklahoma - 5.0% 3000000 ++AAA/Aaa Oklahoma Development Finance Authority Revenue, 5.625%, 8/15/19 3,350,550 8000000 ++AAA/Aaa Oklahoma Development Finance Authority Revenue, 5.625%, 8/15/29 8,913,200 4100000 B-/Caa2 Tulsa Municipal Airport Revenue, 5.65%, 12/1/35 3,882,085 1225000 B-/Caa2 Tulsa Municipal Airport Revenue, 6.25%, 6/1/20 1,030,311 17,176,146 Oregon - 4.6% 1000000 NR/NR Klamath Falls Electric Revenue, 5.75%, 1/1/13 1,018,130 7000000 NR/NR Klamath Falls Electric Revenue, 6.0%, 1/1/25 7,053,200 7500000 NR/NR Western Generation Agency Cogeneration Project Revenue, 7.125%, 1/1/21 7,684,200 15,755,530 Pennsylvania - 7.1% 1550000 NR/Baa1 Allegheny County Hospital Development Authority Revenue, 5.125%, 5/1/25 1,452,970 12300000 B/B1 Allegheny County Hospital Development Authority Revenue, 9.25%, 11/15/30 14,285,343 1000000 BB-/NR Columbia County Hospital Authority Health Care Revenue, 5.9%, 6/1/29 868,230 1000000 BBB/Ba2 Hazleton Health Services Authority Hospital Revenue, 5.625%, 7/1/17 924,550 1280000 NR/B2 Langhorne Manor Borough Higher Education & Health Authority Revenue, 7.35%, 7/1/22 1,273,178 500000 BBB+/NR Pennsylvania Higher Educational Facilities Authority Revenue, 5.4%, 7/15/36 520,850 5000000 BBB-/Baa3Philadelphia Hospitals & Higher Education Facilities Authority Revenue, 6.5%, 11/15/22 4,999,850 24,324,971 South Carolina - 8.0% 4250000 BBB/Baa2 Georgetown County Environmental Improvement Revenue, 5.95%, 3/15/14 4,806,835 15000000 AA-/A1 Greenville County School District, 5.5%, 12/1/28 16,147,650 5850000 BBB/Baa2 South Carolina Jobs Economic Development Authority Revenue, 6.375%, 8/1/34 6,341,224 27,295,709 Tennessee - 3.8% 7000000 BBB+/Baa2Johnson City Health & Educational Facilities Board Hospital Revenue, 7.5%, 7/1/33 8,332,100 4480000 NR/Baa3 Knox County Health Educational & Housing Facilities Board Hospital Revenue, 6.375%, 4/15/22 4,602,304 12,934,404 Texas - 7.6% 7500000 CCC/Caa2 Alliance Airport Authority Special Facilities Revenue, 7.5%, 12/1/29 5,437,800 1345000 NR/Baa3 Bexar County Housing Finance Corp., 8.0%, 12/1/36 1,404,409 2500000 BBB-/Ba2 Brazos River Authority Revenue, 5.375%, 4/01/19 2,583,325 5000000 CCC/Caa2 Dallas-Fort Worth International Airport Revenue, 6.15%, 5/1/29 4,591,700 485000 CC/Ca Dallas-Fort Worth International Airport Revenue, 6.25%, 11/1/13 227,950 7750000 CC/Ca Dallas-Fort Worth International Airport Revenue, 7.125%, 11/1/26 3,410,000 4000000 NR/NR Decatur Hospital Authority Revenue, 7.0%, 9/1/25 4,228,320 1000000 BB/NR Georgetown Health Facilities Development Corp., 6.25%, 8/15/29 1,014,190 3750000 B-/Caa2 Houston Airport System Special Facilities Revenue, 5.7%, 7/15/29 2,675,850 500000 BBB/Baa2 Sabine River Authority Pollution Control Revenue, 6.15%, 8/1/22 556,520 26,130,064 Vermont - 0.5% 1500000 A-/A3 Vermont Educational & Health Buildings Financing Agency Revenue, 6.0%, 10/1/28 1,695,510 Virginia - 1.4% 1000000 BBB/Baa3 Peninsula Ports Authority, 6.0%, 4/1/33 1,044,830 4000000 BB/NR Pocahontas Parkway Association of Virginia Toll Road Revenue, 5.5%, 8/15/28 3,832,000 4,876,830 Washington - 5.5% 4710000 AAA/Aaa Spokane Public Facilities District Hotel/Motel Tax & Sales, 5.75%, 12/1/27 5,455,687 7025000 BBB/Baa3 Tobacco Settlement Authority Washington, 6.625%, 6/1/32 7,071,014 14315000 AAA/Aaa Washington State General Obligation, 0.0%, 6/1/22 6,387,639 18,914,340 Principal S&P/Moody's Amount Ratings Value Wyoming - 1.5% 5000000 BB+/Ba3 Sweetwater County Solid Waste Disposal Revenue, 6.9%, 9/1/24 5,074,550 TOTAL TAX-EXEMPT OBLIGATIONS (Cost $405,193,884) 433,986,023 Shares TAX-EXEMPT MONEY MARKET MUTUAL FUND - 0.3% of Net Assets 1112083 BlackRock Provident Institutional Municipal Fund 1,112,083 TOTAL TAX-EXEMPT MONEY MARKET MUTUAL FUND (Cost $1,112,083) 1,112,083 TOTAL INVESTMENTS IN SECURITIES - 126.7% (Cost $406,305,967) (c) (d) 435,098,106 OTHER ASSETS AND LIABILITIES - 2.7% 9,399,908 PREFERRED SHARES AT REDEMPETION VALUE - (29.4)% (101,000,000) NET ASSETS APPLICABLE TO COMMON SHAREOWNERS - 100.0% 343,498,014 NR: Security not rated by S&P or Moody's. (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 January 31, 2005 the value of these securities amounted to $977,600 or 0.3% of net assets applicable to common shareholders. + Prerefunded bonds have been collaterized by cash sufficient to pay interest and principal on the tax exempt issue and to retire the bonds in full at the earliest refunding date. ++ Prerefunded bonds have been collaterized by U.S. Treasury 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. (a) Indicates a security that has a zero coupon that remains in effect until a predetermined date at which time the stated coupon rate becomes effective until final maturity. (b) Security is in default and is non-incoming producing. (c) The concentration of investments by type of obligation/market sector is as follows: Insured 15.3 General Obligation 1.8 Revenue Bonds: Health Revenue 24.5 Airport Revenue 17.2 Tobacco Revenue 10.1 Education Revenue 7.1 Pollution Control Revenue 6.8 Development Revenue 5.9 Power Revenue 4.4 Transportation Revenue 1.6 Housing Revenue 1.5 Other 1.3 Gaming Revenue 1.2 Facilities Revenue 1.1 Utilities Revenue 0.2 100 (d) (b) At January 31, 2005, the net unrealized gain on investments based on cost for federal income tax purposes of $405,495,705 was as follows: (e) Aggregate gross unrealized gain for all investments in which there is an excess of value over tax cost 36933078 (f) Aggregate gross unrealized loss for all investments in which there is an excess of tax cost over value -7330677 Net unrealized gain 29602401 For financial reporting purposes net unrealized gain on investments was $28,792,139 and cost of investments aggregated $406,305,967 The interest rate swaps outstanding as of January 31, 2005 were as follows: Termination Notional Fixed Unrealized Counterparty Date Amount (000) Rate UBS AG April 5, 2009 $50,000 2.665% 1 month BMA $552,500 ITEM 2. CONTROLS AND PROCEDURES. (a) Disclose the conclusions of the registrant's principal executive officer or officers and principal financial officer or officers, or persons performing similar functions, about 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 their evaluation of these controls and procedures required by Rule 30a-3(b) under the Act (17 CFR270.30a-3(b))) and Rule 13a-15(b) or 15d-15(b) under the Exchange Act (17 CFR240.13a-15(b) or 240.15d-15(b)). The registrant's certifying officers have determined that the registrant's disclosure controls and procedures are effective based on an evaluation of these controls and procedures as of a date within 90 days prior to 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 CFR270.30a-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 was no significant change in the registrant's internal controls over financial reporting 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. ITEM 3. EXHIBITS. (a) A separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2 under the Act (17 CFR 270.30a-2). Filed herewith. 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 Fund; By (Signature and Title)* /s/ John F. Cogan, Jr. John F. Cogan, Jr, President Date March 30, 2005 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/ John F. Cogan, Jr. John F. Cogan, Jr., President Date March 30, 2005 By (Signature and Title)* /s/ Vincent Nave Vincent Nave, Treasurer Date March 30, 2005 * Print the name and title of each signing officer under his or her signature.