MUNICIPAL HIGH INCOME FUND INC
N-30D, 1996-04-24
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                                    Municipal
                                   High Income
                                    Fund Inc.


                                                        Quarterly
                                                         Report

                                                         [Star]

                                                         January
                                                         31, 1996


<PAGE>

- -------------------------------------[Star]-------------------------------------

                         Municipal High Income Fund Inc.


Dear Shareholder:

      We are pleased to provide you with the quarterly report for the Municipal
High Income Fund Inc. for the three-month period ended January 31, 1996. Over
the past twelve months, the Fund paid dividends totaling $0.642 per share. The
table below shows the annualized distribution rates based on the Fund's January
31, 1996 net asset value (NAV) per share and its New York Stock Exchange (NYSE)
closing price.

                         Price                               Annualized
                       Per Share                          Distribution Rate
                       ---------                          -----------------
                     $9.61 (NAV)                                6.37%
                     $8.75 (NYSE)                               6.99%

Municipal Bond Market Update and Outlook

      In recent months, the spread between U.S. Treasuries and municipal bonds
has widened. The widening of this spread is most likely attributed to concerns
about the proposals for a flat tax. Some versions of a flat tax would eliminate
the tax advantages of state and municipal bond interest income. However, supply
factors in the municipal bond market are favorable as the number of new issues
continued to decline and the number of outstanding issues retired through calls
or prerefundings increased.

      We believe the municipal bond market will show better relative performance
in 1996. The National Governors' Association recently reported that the fiscal
condition of many states is now the strongest it has been since the late 1980s.
Many of the larger states have shown remarkable improvement in their ability to
service outstanding bonds and support new debt. We expect that many of the new
municipal bond issues that come to market are likely to be of higher credit
quality than in the past.

      However, any municipal bond market rally will depend on the final outcome
of the flat tax issue and the success of Washington, D.C. in reaching a
consensus on the federal budget. At this time, we do not think any flat tax
proposals will be taken seriously given the upcoming Presidential election. That
does not mean, however, that the municipal bond market will not worry about such
a prospect, which may act to depress municipal bond prices in 1996. In addition,
federal spending reductions could impact on funding for state and local projects
which, if combined with resistance to higher local taxes that back some
municipal bonds, could affect credit quality or supply.


                                       1
- --------------------------------------------------------------------------------
<PAGE>

- -------------------------------------[Star]-------------------------------------

      We expect the tax-exempt bond market to be less volatile in 1996 than it
was in 1995. We estimate that new municipal bonds worth between $150 and $160
billion will be issued in 1996, which was roughly the same amount that was
issued in 1995. In addition, we believe roughly the same amount of municipal
bonds will be retired in 1996.

      We anticipate the municipal bond market in 1996 will be dominated by
institutional investors, with many individual investors remaining concerned
about the flat tax issue during a Presidential election year and taking a
wait-and-see approach. Although we believe the tax-exempt market is currently
attractive regardless of the final outcome of the tax reform debate, this issue
will continue to be an important factor for the market over the next two to
three years.

Fund's Investment Strategy

      During the past three months, the Municipal High Income Fund sought to
minimize portfolio volatility by investing in non-callable, high coupon
municipal bonds. The Fund focused on industrial development and pollution
control issues because they offered, in our view, higher-yield potential. The
Fund's average weighted maturity during the period covered by this report was
just below 20 years.

      At this time, we would like to thank you for your investment in the
Municipal High Income Fund Inc. and we look forward to continue to serve your
investment needs.



Sincerely,

/s/Heath B. McLendon                       /s/Lawrence T. McDermott

Heath B. McLendon                          Lawrence T. McDermott
Chairman and Chief Executive Officer       Vice President and Investment Officer

March 15, 1996




                                       2
- --------------------------------------------------------------------------------
<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                                Municipal High Income Fund Inc.
                                                                        Schedule of Investments
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
<C>             <C>     <S>                                                          <C>
Alabama -- 3.3%
$     545,000   AA-     Alabama HFA, Single-Family Mortgage Revenue,
                           10.500% due 12/1/02...................................    $  585,194
    4,000,000   BBB-    Butler, AL IDR Waste Disposal, 8.000% due 9/1/28 (a).....     4,545,000
    1,000,000   BBB-    Mobile, AL IDR, 6.950% due 1/1/20........................     1,065,000
                                                                                     ----------
                                                                                      6,195,194
                                                                                     ----------
Arizona -- 1.9%
                        Gila County, AZ IDA, PCR, (ASARCO), Series 1987:
    2,700,000   BBB        8.900% due 7/1/06.....................................     2,926,125
      600,000   BBB        8.900% due 7/1/06.....................................       651,750
                                                                                     ----------
                                                                                      3,577,875
                                                                                     ----------
California -- 2.3%
    2,000,000   NR      Los Angeles County, CA Regional Airport Authority,
                           Continental Airlines, Inc., 9.000% due 8/1/17 (a).....     2,160,000
    2,000,000   BBB-    Sacramento, CA Cogeneration Authority, Electric Revenue,
                           6.500% due 7/1/14.....................................     2,087,500
                                                                                     ----------
                                                                                      4,247,500
                                                                                     ----------
Colorado -- 3.1%
    2,000,000   NR      Colorado Health Facilities, Authority Revenue Project, (Beth
                           Israel at Shalom Park Project), 7.250% due 12/15/25...     2,035,000
                        Denver, CO Airport, Series A:
    1,650,000   BBB        8.500% due 11/15/23 (a)...............................     1,881,000
    1,600,000   BBB        8.000% due 11/15/25 (a)...............................     1,796,000
                                                                                     ----------
                                                                                      5,712,000
                                                                                     ----------
Connecticut -- 0.8%
    1,500,000   NR      Connecticut State Development Authority, Health Care
                           Revenue, Series B, 8.000% due 7/1/17..................     1,546,875
                                                                                     ----------
Florida -- 5.9%
      980,000   NR      Homestead, FL IDR, (Project A), 7.950% due 11/1/18.......       994,700
    2,065,000   NR      Jacksonville, FL Health Facilities Authority Revenue,
                           9.125% due 10/15/19...................................     2,157,925
    1,000,000   AAA     Lady Lake, FL, Industrial Development Project Revenue,
                           (Sunbelt Utilities Inc. Project), (Pre-Refunded -- Escrowed
                           with U.S. Government Securities to 7/1/00 @ 102)
                           9.500% due 7/1/10 (a)(b)..............................     1,232,500
    2,000,000   BBB-    Martin County, FL IDR, (Indiantown Cogeneration Project-A),
                           7.875% due 12/15/25 (a)...............................     2,295,000


                               See Notes to Financial Statements.


                                               3
<PAGE>

{Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
Florida -- 5.9% (continued)
  $ 1,500,000   B+      Ocean Highway & Port Authority, FL PCR, Solid Waste,
                           9.375% due 11/1/04....................................   $ 1,543,125
      985,000   AAA     Palm Beach County, FL Health Facilities Authority, Insured
                           Hospital Revenue, JFK Medical Care, (Pre-Refunded --
                           Escrowed with U.S. Government Securities to 12/1/98 @ 102)
                           8.875% due 12/1/18 (b)................................     1,133,981
    1,000,000   NR      Sanford Airport Authority, FL IDR, (Central Florida Terminal
                           Inc., Project-A), 7.750% due 5/1/21 (a)...............       982,500
      650,000   NR      Tampa, FL (Aquarium Inc. Revenue Project), 7.750% due 5/1/27    681,688
                                                                                     ----------
                                                                                     11,021,419
                                                                                     ----------
Georgia -- 0.6%
    1,000,000   NR      Walton County, GA IDA, (Walton Project), 8.500% due 9/1/07    1,085,000
                                                                                     ----------
Illinois -- 8.0%
    2,945,000   BB      Chicago, IL O'Hare International Airport, Special Facilities
                           Revenue Bonds, UnitedAirlines, Series B,
                           8.950% due 5/1/18 (a).................................     3,379,387
                        Chicago, IL Skyway Toll Bridge:
    2,000,000   BBB-       6.500% due 1/1/10.....................................     2,072,500
    1,700,000   BBB-       6.750% due 1/1/17.....................................     1,785,000
    2,000,000   BB-     East Chicago, IL IDA Revenue, Inland Steel Company,
                           Project 10, 6.800% due 6/1/13.........................     2,027,500
    1,835,000   NR      Hanover Park, IL First Mortgage, (Windsor Manor Project),
                           9.250% due 12/1/07....................................     1,926,750
    1,750,000   NR      Hennepin, IL IDA Revenue, (Metchem Corp. Project),
                           10.250% due 1/1/05 (c)................................       157,500
    1,500,000   A+      Illinois Housing Development Authority, Series 5,
                           6.750% due 9/1/23.....................................     1,582,500
      785,000   NR      Loves Park, IL First Mortgage Revenue, (Hoosier Care Project),
                           Series A, 9.750% due 8/1/19...........................       844,856
      990,000   NR      Sterling, IL First Mortgage Revenue, (Hoosier Care Project),
                           Series A, 9.750% due 8/1/19...........................     1,058,063
                                                                                     ----------
                                                                                     14,834,056
                                                                                     ----------
Indiana -- 1.1%
    2,000,000   BB      Indianapolis,IN Indianapolis Airport Authority,
                           6.500% due 11/15/31 (a)...............................     2,040,000
                                                                                     ----------
Iowa -- 0.7%
    1,240,000   NR      Marion, IA Multi-Family Revenue, 9.500% due 7/1/18 (a)...     1,253,950
                                                                                     ----------



                               See Notes to Financial Statements.


                                               4
<PAGE>

{Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
Kentucky -- 2.3%
  $ 1,380,000   A1*     Jefferson County, KY Health Facilities Authority, Dates Beverly
                           Enterprises, 10.125% due 5/1/08.......................   $ 1,530,075
    1,500,000   BB      Kenton County, KY Airport Board Delta Airlines,
                           7.500% due 2/1/20 (a).................................     1,620,000
    1,000,000   A       Pendleton County, KY Multi-Lease Revenue, Series A,
                           6.500% due 3/1/19.....................................     1,056,250
                                                                                     ----------
                                                                                      4,206,325
                                                                                     ----------
Louisiana -- 7.2%
    1,200,000   Baa3*   Lake Charles, LA (Harbor & Terminal Project),
                           7.750% due 8/15/22....................................     1,363,500
                        Port of New Orleans, LA IDA Revenue:
                           Avondale Industries, Inc. Project:
    2,000,000   NR          8.250% due 6/1/04....................................     2,282,500
    3,000,000   NR          8.500% due 6/1/14....................................     3,390,000
    1,000,000   BB-        Continental Grain Company Project, 7.500% due 7/1/13..     1,065,000
    2,750,000   BBB-    St. Charles Parish, LA (Power & Light Co. Project Revenue),
                           6.380% due 11/1/25 (a)................................     2,760,313
    2,400,000   BB+     West Feliciana Parish, LA PCR, 8.000% due 12/1/24........     2,607,000
                                                                                     ----------
                                                                                     13,468,313
                                                                                     ----------
Maine -- 0.6%
                        Maine State Housing Authority Mortgage Purchases:
      500,000   AA-        Series C-2, 7.000% due 11/15/32 (a)...................       530,625
      585,000   AA-        Series D-1, 8.300% due 11/15/28 (a)...................       604,744
                                                                                     ----------
                                                                                      1,135,369
                                                                                     ----------
Massachusetts -- 5.8%
    1,980,000   NR      Commonwealth of Massachusetts Health & Educational
                           Facilities Authority Revenue, North Adams State College,
                           9.625% due 12/1/18....................................     2,103,750
                        Commonwealth of Massachusetts Industrial Finance Agency
                           (S.E. Mass Project):
    1,700,000   NR          Series A, 9.000% due 7/1/15..........................     1,914,625
    5,940,000   NR          Series B, 9.250% due 7/1/15 (a)......................     6,712,200
                                                                                     ----------
                                                                                     10,730,575
                                                                                     ----------
Michigan -- 2.9%
    1,000,000   BBB     Detroit, MI GO, Series A, 6.800% due 4/1/15..............     1,068,750
    1,855,000   BBB-    Greater Detroit, MI Recreation Authority, Series C,
                           9.250% due 12/13/08...................................     1,919,925



                               See Notes to Financial Statements.


                                               5
<PAGE>

[Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
Michigan -- 2.9% (continued)
   $  755,000   BBB-    Greater Detroit, MI Resource Recovery Authority Revenue,
                           Series B, 9.250% due 12/13/08.........................    $  781,425
    1,500,000   BBB+    Western Townships, MI Utility Revenue, Sewage System,
                           8.300% due 1/1/19.....................................     1,636,875
                                                                                     ----------
                                                                                      5,406,975
                                                                                     ----------
Minnesota -- 1.1%
    2,000,000   AA+     Minnesota HFA, Single-Family, Series H, 6.700% due 1/1/18     2,137,500
                                                                                     ----------
Mississippi -- 3.3%
    3,300,000   NR      Claiborne County, MS PCR, Series C, 9.875% due 12/1/14...     3,811,500
    2,000,000   AAA     Mississippi Hospital Equipment Facilities Authority,
                           Methodist Hospital, (Pre-Refunded-- Escrowed with U.S.
                           Government Securities to 5/1/98 @ 103),
                           9.375% due 5/1/12 (b).................................     2,285,000
                                                                                     ----------
                                                                                      6,096,500
                                                                                     ----------
New Hampshire -- 2.1%
                        New Hampshire State IDA, United Illuminating Company:
    1,000,000   BBB-       Series A, 9.375% due 7/1/12 (a).......................     1,078,750
    2,500,000   BBB-       Series B, 10.750% due 10/1/12 (a).....................     2,800,000
                                                                                     ----------
                                                                                      3,878,750
                                                                                     ----------
New Jersey -- 3.1%
    1,300,000   NR      New Jersey Educational Facilities, Fairleigh Dickinson
                           University, Series C, 6.625% due 7/1/23...............     1,243,125
                        New Jersey Health Care Facilities:
    1,685,000   Ba*        Palisades Medical Center, Finance Authority Revenue,
                           7.600% due 7/1/21.....................................     1,703,956
    1,000,000   NR         Raritan Bay Medical Center, 7.250% due 7/1/27.........     1,022,500
    1,500,000   BBB-       Zurbrugg Memorial Hospital, Series C, 8.500% due 7/1/12    1,565,625
      310,000   AAA     New Jersey Housing and Mortgage Finance Agency, Home Buyer
                           Revenue, Series E, MBIA-Insured, 7.650% due 10/1/16...       330,925
                                                                                     ----------
                                                                                      5,866,131
                                                                                     ----------
New Mexico -- 0.9%
    1,625,000   AA      New Mexico Mortgage Finance Authority, Single-Family
                           Mortgage Program, Series B, 8.300% due 3/1/20.........     1,736,718
                                                                                     ----------
New York -- 6.5%
    1,680,000   NR      Babylon, NY IDA, (Recycling Project), Series A,
                           8.875% due 3/1/11 (c).................................       672,000


                               See Notes to Financial Statements.


                                               6
<PAGE>

[Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
New York -- 6.5% (continued)
  $ 1,400,000   A       New York City, NY Battery Park Authority Revenue, Series A,
                           5.800% due 11/1/22....................................   $ 1,414,000
                        New York City, NY COP:
    4,715,000   A-         Series F, 6.625% due 2/15/25..........................     4,921,281
    1,000,000   BBB+       Series H, 7.000% due 2/1/21...........................     1,070,000
    2,000,000   BBB+    New York City, NY GO Unlimited, Series G, 6.000% due 2/1/11   2,005,000
    1,950,000   BB+     New York State Energy, Research & Development Authority,
                           Electric Facility Revenue, Long Island Lighting Company,
                           7.150% due 12/1/20 (a)................................     2,030,437
                                                                                     ----------
                                                                                     12,112,718
                                                                                     ----------
North Carolina -- 2.4%
    1,750,000   A       Martin County, NC Industrial Facilities PCR,
                           6.800% due 5/1/24 (a).................................     1,883,437
    2,300,000   BBB+    North Carolina Eastern Municipal Power Agency,
                           Power Systems Revenue, Series B, 7.000% due 1/1/08....     2,576,000
                                                                                     ----------
Ohio -- 2.6%
    1,000,000   NR      Cleveland, OH Airport Special Revenue,
                           Continental Airlines Inc., 9.000% due 12/1/19 (a).....     1,057,500
    1,000,000   NR      Cuyahoga County, OH Health Care Facilities, Judson
                           Retirement Community, 8.875% due 11/15/19.............     1,076,250
    1,500,000   BBB     Montgomery County, OH Health Systems Revenue, Series B,
                           8.100% due 7/1/18.....................................     1,717,500
    1,000,000   BB+     Ohio Water Development Authority, PCR, Series A,
                           8.100% due 10/1/23 (a)................................     1,081,250
                                                                                     ----------
                                                                                      4,932,500
                                                                                     ----------
Pennsylvania -- 13.9%
    2,200,000   B-      Allegheny County, PA IDA, Special Facilities Revenue,
                           Series B, (U.S. Air Project), 8.500% due 3/1/21 (a)...     2,381,500
                        Beaver County, PA IDA, PCR:
    2,500,000   BB         7.625% due 5/1/25.....................................     2,678,125
    2,000,000   BB         7.625% due 5/1/20.....................................     2,142,500
    1,500,000   NR      Delaware County, PA IDA, First Mortgage, White Horse,
                           9.700% due 7/1/09.....................................     1,595,625
    3,000,000   AAA     Lebanon County, PA Samaritan House, Series B,
                           (Pre-Refunded -- Escrowed with U.S. Government
                           Securities to 11/1/99 @ 102), 8.250% due 11/1/18 (b)..     3,480,000
    2,500,000   BBB-    Luzerne County, PA IDA, 7.125% due 12/1/22 (a)...........     2,665,625


                               See Notes to Financial Statements.


                                               7
<PAGE>

[Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================

    FACE
   AMOUNT         RATING                    SECURITY                                     VALUE
===============================================================================================
Pennsylvania-- 13.9% (continued)
  $ 2,000,000   Ba1*    Montgomery County, PA Higher Education & Health Authority,
                           8.375% due 11/1/11....................................   $ 2,165,000
      625,000   NR      Northumberland County, PA IDA Revenue, 6.875% due 2/1/03.       629,687
    1,500,000   AA      Pennsylvania HFA, Series C, 6.900% due 4/1/25 (a)........     1,593,750
    1,500,000   NR      Philadelphia, PA IDR Host Marriott, 7.750% due 12/1/17(a)     1,546,875
    1,970,000   BBB-    Philadelphia, PA Gas Revenue, Series B, 6.400% due 11/15/16   2,043,875
    1,500,000   BB+     Scranton - Lackawanna, PA Health & Welfare Authority,
                           Mercy Health Systems, Series B, 8.500% due 7/1/20.....     1,631,250
    1,250,000   BBB+    Sharon, PA Regional Health Systems, (Project B),
                           6.875% due 12/1/22....................................     1,298,438
                                                                                     ----------
                                                                                     25,852,250
                                                                                     ----------
Puerto Rico -- 0.1%
     200,000    A       Commonwealth of Puerto Rico GO, 8.000% due 7/1/08........       220,250
                                                                                     ----------
South Carolina -- 0.5%
      910,000   NR      McCormick County, SC COP, 9.750% due 7/1/09..............       941,387
                                                                                     ----------
South Dakota -- 1.2%
                        Oglala Sioux Tribe, SD Pine Ridge County, Revenue Bonds:
      260,000   NR         7.000% due 7/1/99.....................................       264,875
    1,865,000   NR         7.500% due 7/1/13.....................................     1,916,287
                                                                                     ----------
                                                                                      2,181,162
                                                                                     ----------
Tennessee -- 0.4%
      750,000   AAA     Knox County, TN Health Education & Housing, FSA-Insured,
                           7.125% due 1/1/30.....................................       826,875
                                                                                     ----------
Texas -- 10.7%
      600,000   NR      Angelina County, TX Jail Facilities Financing Corporation,
                           Criminal Detention Center, Mortgage Revenue Bonds,
                           9.750% due 8/1/09 (c).................................         6,000
      955,000   NR      Bell County, TX Health Facilities Development Corporation,
                           (Living Tech, Inc. Project), Series A, 10.500% due 6/15/18   830,850
                        Brazos River, TX PCR, (Collateral-Texas Utilities Electric
                           Company, Project A):
    1,000,000   BBB         9.875% due 10/1/17...................................     1,093,750
    2,000,000   BBB         8.250% due 1/1/19 (a)................................     2,195,000
    1,320,000   A*      El Paso, TX Housing Finance Corporation, Single-Family
                           Mortgage Revenue, 8.750% due 10/1/11..................     1,442,100
    2,000,000   B       El Paso, TX International Airport Revenue Bonds, (Marriott
                           Corporation Project), 7.750% due 3/1/12...............     2,090,000


                               See Notes to Financial Statements.


                                               8
<PAGE>

[Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================
    FACE
    VALUE         RATING                    SECURITY                                     VALUE
===============================================================================================
Texas -- 10.7% (continued)
  $ 1,215,000   NR      Harris County, TX Industrial Development Corporation, IDR
                           Continental Airlines Inc., 7.950% due 7/1/19..........  $  1,214,806
      840,000   NR      La Salle County, TX Jail Facilities Financing Corporation,
                           Criminal Detention Center, Mortgage Revenue Bonds,
                           9.750% due 8/1/09 (c).................................         8,400
                        Matagorda County, TX Navigation District No. 1, PCR,
                           (Houston Lighting & Power Company Project):
    1,000,000   AAA          6.100% due 7/1/28...................................     1,030,000
    1,400,000   A            Series A, 7.875% due 2/1/19.........................     1,499,750
    1,400,000   AA      North Central, TX Health Facilities Development Project,
                           Hospital-- Baylor Health Care Systems, (Project B),
                           Variable Rate, 6.400% due 5/15/08.....................     1,547,000
                        Northgate Crossing, TX Municipals Utilities:
    1,000,000   NR         District 1, GO, 8.875% due 12/1/13....................       993,750
    1,000,000   NR         District 2, Special Tax, 8.875% due 12/1/13...........       993,750
      570,000   NR      Pecos County, TX Jail Facilities Financing Corporation,
                           Criminal Detention Center, Mortgage Revenue Bonds,
                           9.750% due 8/1/09 (c).................................         5,700
                        Port Corpus Christi, TX Industrial Development Corporation,
                           Valero Refinancing and Marketing Company:
    2,500,000   BBB-         Series A, 10.250% due 6/1/17........................     2,746,875
    2,000,000   BBB-         Series B, 10.625% due 6/1/08 (a)....................     2,207,500
                                                                                   ------------
                                                                                     19,905,231
                                                                                   ------------
Utah -- 1.1%
    1,765,000   NR      Hurricane, UT (Health Services Project), 10.500% due 7/1/20   1,967,975
                                                                                   ------------
Vermont -- 1.3%
    2,365,000   A1*     Vermont Housing Finance Agency, Home Mortgage,
                           Series B, 8.100% due 6/1/22...........................     2,492,119
                                                                                   ------------
West Virginia -- 1.2%
    2,500,000   NR      Marion County, WV County Commission, Solid Waste
                           Disposal Facility, 7.750% due 12/1/11 (a).............     2,200,000
                                                                                   ------------
                        TOTAL LONG-TERM MUNICIPAL BONDS -- 98.9%
                        (Cost-- $175,611,547)....................................   184,268,929
                                                                                   ------------


                               See Notes to Financial Statements.

                                               9
<PAGE>

[Star]
                                                                Municipal High Income Fund Inc.
                                                            Schedule of Investments (continued)
                                                                   January 31, 1996 (unaudited)
===============================================================================================
    FACE
    VALUE         RATING                    SECURITY                                     VALUE
===============================================================================================
SHORT-TERM INVESTMENTS -- 1.1%
Louisiana -- 1.0%
  $ 1,800,000   VMIG1*   Louisiana State Recovery, District Sales Tax Revenue,
                           FGIC-Insured, 3.750% due 7/1/97.......................   $ 1,800,000
Massachusetts -- 0.1%
      200,000   VMIG1*   Commonwealth of Massachusetts, Series B,
                           3.700% due 12/1/97....................................       200,000
                                                                                   ------------
                         TOTAL SHORT-TERM MUNICIPAL NOTES
                         (Cost-- $2,000,000).....................................     2,000,000
                                                                                   ------------
                         TOTAL INVESTMENTS -- 100%
                         (Cost-- $177,611,547) (d)...............................  $186,268,929
                                                                                   ============
</TABLE>

a)  Income from these issues is considered a preference item for purposes of
    calculating the alternative minimum tax.

b)  Pre-Refunded bonds escrowed by U.S. Government Securities and bonds escrowed
    to maturity by U.S. Government Securities are considered by manager to be
    triple-A rated even if issuer has not applied for new ratings.

c)  Security is in default and has been valued by the Fund's Board of Directors
    (See Note 4).

d)  Aggregate cost for Federal income tax purposes is substantially the same.

    See pages 11 and 12 for definition of ratings and certain security
descriptions.

- --------------------------------------------------------------------------------
                           Summary of Municipal Bonds
                               by Combined Ratings
                                January 31, 1996
- --------------------------------------------------------------------------------
                                      Standard &             Percent of
  Moody's          and/or             Poor's              Total Investments
  -------                             ------              -----------------
   Aaa                                  AAA                      5.6%
   Aa                                   AA                       3.8
   A                                    A                        9.9
   Baa                                  BBB                     33.0
   Ba                                   BB                      13.9
   B                                    B                        3.3
   NR                                   NR                      30.5
                                                               -----
                                                               100.0%
                                                               =====
- --------------------------------------------------------------------------------


                       See Notes to Financial Statements.

                                       10
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                          Bond Ratings and Security Descriptions
================================================================================


BOND RATINGS
- ------------

All ratings are by Standard & Poor's Corporation ("Standard & Poor's"), except
that those identified by an asterisk (*) are rated by Moody's Investors Services
("Moody's"). The definitions of the applicable rating symbols are set forth
below:

Standard & Poor's -- Ratings from "AA" to "BBB" may be modified by the addition
of a plus (+) or a minus (-) sign to show relative standings within the major
rating categories.

AAA           -- Bonds rated "AAA"' have the highest rating assigned by Standard
                 & Poor's.  Capacity  to pay  interest  and repay  principal  is
                 extremely strong.

AA            -- Bonds  rated "AA" have a very strong  capacity to pay  interest
                 and repay  principal  and differs from the highest  rated issue
                 only in a small degree.

A             -- Bonds  rated "A" have a strong  capacity  to pay  interest  and
                 repay principal although it is somewhat more susceptible to the
                 adverse  effects  of  changes  in  circumstances  and  economic
                 conditions than debt in higher rated categories.

BBB           -- Bonds rated "BBB" are  regarded as having an adequate  capacity
                 to pay interest  and repay  principal.  Whereas  they  normally
                 exhibit  adequate  protection   parameters,   adverse  economic
                 conditions or changing circumstances are more likely to lead to
                 a weakened  capacity to pay  interest and repay  principal  for
                 debt in this category than in higher rated categories.

BB, B and CCC -- Bonds  rated  "BB"  and  "B"  are  regarded,   on  balance,  as
                 predominantly  speculative  with  respect  to  capacity  to pay
                 interest and repay  principal in  accordance  with the terms of
                 the  obligation.  "BB" represents a lower degree of speculation
                 than "B," and "CCC" the highest  degree of  speculation.  While
                 such  bonds  will  likely  have  some  quality  and  protective
                 characteristics,  these are outweighted by large  uncertainties
                 or major risk exposurers to adverse conditions.

Moody's       -- Numerical  modifiers  1, 2 and 3 may be applied to each generic
                 rating  from "Aa" to "Baa",  where 1 is the  highest  and 3 the
                 lowest rating within its generic category.

A             -- Bonds  that are rated "A"  possess  many  favorable  investment
                 attributes  and are to be  considered  as  upper  medium  grade
                 obligations.  Factors giving security to principal and interest
                 are  considered  adequate  but  elements  may be present  which
                 suggest a susceptibility to impairment some time in the future.

Ba            -- Bonds  that are  rated  "Ba"  are  judged  to have  speculative
                 elements;  their future  cannot be  considered as well assured.
                 Often the protection of interest and principal  payments may be
                 very moderate thereby not well safeguarded during both good and
                 bad   times   over  the   future.   Uncertainty   of   position
                 characterizes bonds in this class.

Baa           -- Bonds  that are rated  "Baa"  are  considered  as medium  grade
                 obligations, i.e., they are neither highly protected nor poorly
                 secured.   Interest  payments  and  principal  security  appear
                 adequate for the present but certain protective elements may be
                 lacking or may be characteristically  unreliable over any great
                 length  of  time.  Such  bonds  lack   outstanding   investment
                 characteristics and in fact have speculative characteristics as
                 well.

NR            -- Indicates  that the bond is not rated by  Standard  & Poor's or
                 Moody's.


                                       11
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                   Ratings and Security Descriptions (continued)
================================================================================
SHORT-TERM SECURITIES RATINGS
- -----------------------------

VMIG1       -- Moody's highest rating for issues having demand feature -- 
               variable-rate demand obligation (VRDO).

SECURITY DESCRIPTIONS
- ---------------------

ABA         -- Association of Bay Area Governors
AIG         -- American International Guaranty
AMBAC       -- AMBAC Indemnity Corporation
BAN         -- Bond Anticipation Notes
BIG         -- Bond Investors Guaranty
CGIC        -- Capital Guaranty Insurance Company
CHFCLI      -- California Health Facility Construction Loan Insurance
CONNIE LEE  -- College Construction Loan Association
COP         -- Certificate of Participation
EDA         -- Economic Development Authority
ETM         -- Escrowed to Maturity
FGIC        -- Financial Guaranty Insurance Company
FHA         -- Federal Housing Administration
FHLMC       -- Federal Home Loan Mortgage Corporation
FLAIRS      -- Floating Adjustable Interest Rate Securities
FNMA        -- Federal National Mortgage Association
FRTC        -- Floating Rate Trust Certificates
FSA         -- Federal Savings Association
GIC         -- Guaranteed Investment Contract
GNMA        -- Government National Mortgage Association
GO          -- General Obligation
HDC         -- Housing Development Corporation
HFA         -- Housing Finance Authority
IDA         -- Industrial Development Agency
IDB         -- Industrial Development Board
IDR         -- Industrial Development Revenue
INFLOS      -- Inverse Floaters
ISD         -- Independent School District
LOC         -- Letter of Credit
MBIA        -- Municipal Bond Investors Assurance Corporation
MVRICS      -- Municipal Variable Rate Inverse Coupon Security
PCR         -- Pollution Control Revenue
PSF         -- Permanent School Fund
RAN         -- Revenue Anticipation Notes
RIBS        -- Residual Interest Bonds
RITES       -- Residual Interest Tax-Exempt Securities
SYCC        -- Structured Yield Curve Certificate
TAN         -- Tax Anticipation Notes
TECP        -- Tax-Exempt Commercial Paper
TOB         -- Tender Option Bonds
TRAN        -- Tax and Revenue Anticipation Notes
VA          -- Veterans Administration
VRWE        -- Variable Rate Wednesday Demand



                                       12
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                 Statement of Assets and Liabilities (unaudited)
                                                                January 31, 1996
================================================================================
ASSETS:
    Investments, at value (Cost-- $177,611,547) ...............   $ 186,268,929
    Interest receivable .......................................       2,948,579
    Receivable for securities sold ............................         320,519
                                                                  -------------
    Total Assets ..............................................     189,538,027
                                                                  -------------

LIABILITIES:
    Dividends payable .........................................         245,893
    Investment advisory fees payable ..........................          64,111
    Payable to bank ...........................................          41,022
    Administration fees payable ...............................          32,056
    Accrued expenses ..........................................         249,520
    Other liabilities .........................................          14,277
                                                                  -------------
    Total Liabilities .........................................         646,879
                                                                  -------------
Total Net Assets ..............................................   $ 188,891,148
                                                                  =============
NET ASSETS:
    Par value of capital shares ...............................   $     196,599
    Capital paid in excess of par value .......................     182,673,658
    Undistributed net investment income .......................          49,325
    Accumulated net realized loss on security transactions ....      (2,685,816)
    Net unrealized appreciation of investments ................       8,657,382
                                                                  -------------
Total Net Assets
    (Equivalent to $9.61 a share on 19,659,882 shares of
      $0.01 par value outstanding; 500,000,000 shares authorized) $ 188,891,148
                                                                  =============

                       See Notes to Financial Statements.


                                       13
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                             Statement of Operations (unaudited)
                                     For the Three Months Ended January 31, 1996
================================================================================
INVESTMENT INCOME:
    Interest ....................................................     $3,487,742
                                                                      ----------

EXPENSES:
    Investment advisory fees (Note 2) ...........................        189,818
    Administration fees (Note 2) ................................         94,909
    Shareholder communications ..................................         40,000
    Audit and legal .............................................         38,000
    Shareholder and system servicing fees .......................          8,500
    Directors' fees .............................................          7,000
    Custody .....................................................          4,000
    Other .......................................................         16,391
                                                                      ----------
    Total Expenses ..............................................        398,618
                                                                      ----------
Net Investment Income ...........................................      3,089,124
                                                                      ----------

REALIZED AND UNREALIZED GAIN ON INVESTMENTS:
    Realized Gain From Security Transactions
    (excluding short-term securities):
      Proceeds from sales .......................................      6,775,818
      Cost of securities sold ...................................      6,525,049
                                                                      ----------
    Net Realized Gain ...........................................        250,769
                                                                      ----------

    Change in Net Unrealized Appreciation of Investments:
      Beginning of period .......................................      7,086,829
      End of period .............................................      8,657,382
                                                                      ----------
    Increase in Net Unrealized Appreciation .....................      1,570,553
                                                                      ----------
Net Gain on Investments .........................................      1,821,322
                                                                      ----------
Increase in Net Assets From Operations ..........................     $4,910,446
                                                                      ==========



                       See Notes to Financial Statements.


                                       14
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                             Statements of Changes in Net Assets
                         For the Three Months Ended January 31, 1996 (unaudited)
                                             and the Year Ended October 31, 1995
================================================================================

                                                       1996           1995
                                                       -----          -----
OPERATIONS:
    Net investment income ....................... $   3,089,124   $  12,483,459
    Net realized gain (loss) ....................       250,769        (269,935)
    Increase in net unrealized appreciation
       of investments ...........................     1,570,553      11,037,820
                                                  -------------   -------------
    Increase in Net Assets
       From Operations ..........................     4,910,446      23,251,344
                                                  -------------   -------------

DISTRIBUTIONS TO
SHAREHOLDERS FROM:
    Net investment income .......................    (3,066,942)    (12,736,819)
                                                  -------------   -------------
    Decrease in Net Assets From
       Distributions to Shareholders ............    (3,066,942)    (12,736,819)
                                                  -------------   -------------

FUND SHARE TRANSACTIONS:
    Net asset value of shares issued for
       reinvestment of dividends (Note 5) .......          --           154,164
                                                  -------------   -------------
    Increase in Net Assets From
       Fund Share Transactions ..................          --           154,164
                                                  -------------   -------------
Increase in Net Assets ..........................     1,843,504      10,668,689

NET ASSETS:
    Beginning of period .........................   187,047,644     176,378,955
                                                  -------------   -------------
    End of period* .............................. $ 188,891,148   $ 187,047,644
                                                  =============   =============

*Includes undistributed net investment income of: $      49,325   $      27,143
                                                  =============   =============



                       See Notes to Financial Statements.


                                       15
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                       Notes to Financial Statements (unaudited)
================================================================================

    1.  Significant Accounting Policies

    Municipal  High  Income  Fund  Inc.  ("Fund")  a  Maryland  corporation,  is
registered  under  the  Investment  Company  Act  of  1940,  as  amended,  as  a
diversified, closed-end management investment company.

    The significant  accounting policies  consistently followed by the Fund are:
(a) securities  transactions are accounted for on trade date, (b) securities are
valued at the mean between the bid and asked prices  provided by an  independent
pricing service;  (c) short-term  securities and investments  maturing within 60
days are valued at cost plus accreted discount,  or minus amortized premium,  as
applicable;  (d) gains or losses on the sale of  securities  are  calculated  by
using the specific  identification  method;  (e) interest  income,  adjusted for
amortization of premium and accretion of original issue discount, is recorded on
the accrual basis; (f) the Fund intends to comply with the applicable provisions
of the  Internal  Revenue  Code of 1986,  as amended,  pertaining  to  regulated
investment  companies and to make  distributions of taxable income sufficient to
relieve it from  substantially  all  Federal  income and excise  taxes;  and (g)
estimates and assumptions are required to be made regarding assets,  liabilities
and changes in net assets  resulting from operations  when financial  statements
are prepared.  Changes in the economic  environment,  financial  markets and any
other parameters used in determining  these estimates could cause actual results
to differ from these amounts.

    2.  Investment  Advisory  Agreement,   Administration  Agreement  and  Other
        Transactions

    Smith Barney Mutual Funds Management Inc.  ("SBMFM"),  a subsidiary of Smith
Barney Holdings Inc. ("SBH"),  acts as investment  adviser to the Fund. The Fund
pays SBMFM an advisory fee  calculated at an annual rate of 0.40% of the average
daily net assets.  SBMFM also acts as the administrator of the Fund for which it
receives a fee  calculated  at an annual rate of 0.20% of the average  daily net
assets. These fees are calculated daily and paid monthly.

    3.  Securities Transactions

    For the three months ended January 31, 1996,  cost of purchases and proceeds
from  sales  of  investment   securities,   excluding  short-term   investments,
aggregated $5,650,430 and $6,775,818, respectively.

    At  January  31,  1996,  aggregate  gross  unrealized  appreciation  for all
securities  in which there was an excess of market value over tax cost  amounted
to $12,436,116,  and aggregate gross unrealized  depreciation for all securities
in which  there  was an  excess  of tax  cost  over  market  value  amounted  to
$3,778,734 or a net unrealized appreciation of $8,657,382.


                                       16
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                           Notes to Financial Statements (unaudited) (continued)
================================================================================

    4.  Securities Valued by the Fund's Board of Directors

    Certain of the Fund's  investments are valued at the direction of the Fund's
Board of Directors;  these  securities  are currently in default,  and have been
valued in good  faith,  taking  into  consideration  the  appropriate  economic,
financial and other pertinent available information  pertaining to the defaulted
securities.  The table below shows all securities  valued by the Fund's Board of
Directors:

<TABLE>
<CAPTION>
                                                                                Value as a
                                           Acquisition     Par                  Percentage
       Security                               Date       Amount      Value     of Net Assets    Cost
       --------                            -----------   -------    -------    -------------    ----
<S>                                         <C>         <C>         <C>            <C>      <C>       
    Angelina County, TX Jail Facilities
      Financing Corporation,
      9.750% due 8/1/09                     10/11/89    $ 600,000   $  6,000       0.003%   $  158,755
                                                                                            
    Babylon, NY IDA, 8.875% due 3/1/11      10/14/91    1,680,000    672,000       0.356     1,663,106
                                                                                            
    Hennepin, IL IDA, 10.250% due 1/1/05     3/17/89    1,750,000    157,500       0.083     1,750,000
                                                                                            
    La Salle County, TX Jail Facilities                                                     
      Financing Corporation,                                                                
      9.750% due 8/1/09                     10/10/89      840,000      8,400       0.004       222,257
                                                                                            
    Pecos County, TX Jail Facilities                                                        
      Financing Corporation,                                                                
      9.750% due 8/1/09                     10/10/89      570,000      5,700       0.003       150,780

</TABLE>

    5.  Fund Shares

    At January 31, 1996, 500,000,000 shares of common stock, with a par value of
$0.01 per share, were authorized.

    Common stock transactions during the prior fiscal year were as follows:

                                                             Year Ended
                                                              10/31/95
                                                         -------------------
                                                          Shares    Amount
                                                         --------  ---------
Shares issued on reinvestment                             17,187    $154,164
                                                         =======   =========

    6.  Capital Loss Carryforwards

    At October 31,  1995,  the Fund had for Federal tax  purposes  approximately
$2,936,585  of capital loss  carryforwards  available to offset  future  capital
gains.  To the extent that these capital loss  carryforwards  are used to offset
capital gains,  it is probable that the gains so offset will not be distributed.
The amount and expiration of the carryovers are indicated below:

                                            10/31/02              10/31/03
- --------------------------------------------------------------------------------
Carryover Amount                           $2,666,650             $269,935
- --------------------------------------------------------------------------------


                                       17
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                                            Financial Highlights
================================================================================

For a share of capital stock outstanding throughout each period:

<TABLE>
<CAPTION>
                                      1996(1)         1995        1994        1993        1992        1991
                                      -------       -------     -------     -------     -------     -------
<S>                                   <C>           <C>         <C>         <C>         <C>         <C>    
Net Asset Value,
  Beginning of Period .............   $  9.51       $  8.98     $  9.72     $  9.49     $  9.42     $  9.28
                                     --------      --------    --------    --------    --------    --------

Income (Loss) From Operations:
    Net investment income .........      0.16          0.64        0.65        0.67        0.70        0.74
    Net realized and unrealized
       gain (loss) ................      0.10          0.54       (0.72)       0.23        0.06        0.15
                                     --------      --------    --------    --------    --------    --------
Total Income (Loss) From Operations      0.26          1.18       (0.07)       0.90        0.76        0.89
                                     --------      --------    --------    --------    --------    --------

Less Distributions From:
    Net investment income .........     (0.16)        (0.65)      (0.65)      (0.67)      (0.69)      (0.75)
    Net realized gains ............      --            --         (0.02)       --          --          --
                                     --------      --------    --------    --------    --------    --------
Total Distributions ...............     (0.16)        (0.65)      (0.67)      (0.67)      (0.69)      (0.75)
                                     --------      --------    --------    --------    --------    --------

Net Asset Value, End of Period ....   $  9.61       $  9.51     $  8.98     $  9.72     $  9.49     $  9.42
                                     --------      --------    --------    --------    --------    --------
Total Return ......................      2.86%++      14.00%     (11.79)%     17.07%       2.74%      17.88%
                                     --------      --------    --------    --------    --------    --------
Net Assets, End of Period (000s) ..  $188,891      $187,048    $176,379    $188,294    $179,104    $173,290
                                     ========      ========    ========    ========    ========    ========

Ratios to Average Net Assets:
    Expenses ......................      0.84%+        0.84%       0.84%       0.87%       0.87%       0.90%
    Net investment income .........      6.53+         6.87        6.98        6.89        7.31        7.90

Portfolio Turnover Rate ...........         3%           18%         17%         13%         12%         22%

Market Value at End of Period .....   $ 8.750       $ 9.000     $ 8.250     $ 9.875     $ 9.125     $ 9.500
</TABLE>

- --------------
(1) For the three months ended January 31, 1996 (unaudited).

++  Total return is not annualized as it may not be  representative of the total
    return for the year.

+   Annualized.


                                       18
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                        Financial Data Per Share of Common Stock
                                 and Quarterly Results of Operations (unaudited)
================================================================================

                                 Financial Data

                                                                   Dividend
  Record      Pay         NYSE          Net Asset    Dividend     Reinvestment
   Date      Date    Closing Price*       Value        Paid          Price
  ------    -------  --------------     ---------    --------       -------
 5/23/94    5/31/94      $9.000          $9.18        $0.0540        $9.00
 6/23/94    6/30/94       9.000           9.23         0.0540         8.98
 7/22/94    7/31/94       9.125           9.20         0.0540         9.02
 8/24/94    8/31/94       8.750           9.22         0.0540         8.87
 9/23/94    9/30/94       8.500           9.13         0.0540         8.66
10/24/94   10/31/94       8.375           9.03         0.0540         8.17
11/22/94   11/30/94       8.125           8.71         0.0540         8.34
12/22/94   12/31/94       8.125           8.84         0.0540         8.29
 1/24/95    1/31/95       8.625           8.99         0.0540         8.83
 2/21/95    2/28/95       8.750           9.13         0.0540         8.85
 3/24/95    3/31/95       8.875           9.25         0.0540         8.94
 4/21/95    4/30/95       9.000           9.32         0.0540         8.94
 5/25/95    5/31/95       8.875           9.44         0.0540         8.89
 6/23/95    6/30/95       8.750           9.44         0.0540         8.97
 7/25/95    7/28/95       8.875           9.39         0.0540         8.59
 8/22/95    8/25/95       8.875           9.33         0.0540         8.93
 9/26/95    9/29/95       8.875           9.43         0.0540         8.94
10/24/95   10/27/95       8.875           9.51         0.0540         8.79
11/20/95   11/24/95       8.125           9.49         0.0540         8.87
12/26/95   12/29/95       8.375           9.58         0.0510         8.60
 1/19/96    1/26/96       8.125           9.59         0.0510         8.88

*As of Record Date.
                         Quarterly Results of Operations

<TABLE>
<CAPTION>
                                                                         Net Realized            Net Increase
                                                       Net              and Unrealized            (Decrease)
                              Investment           Investment             Gain (Loss)            in Net Assets
                                Income               Income             on Investments          From Operations
                           ----------------      ----------------       ----------------       ------------------
                                       Per                   Per                    Per                    Per
Quarter Ended              Total      Share      Total      Share       Total      Share       Total      Share
                           -----      -----      -----      -----       -----      -----       -----      -----
<S>                     <C>           <C>     <C>          <C>        <C>           <C>       <C>         <C>  
January 31, 1993....    $3,823,950    $0.20   $3,413,585   $0.18      $2,944,261    $0.16     $6,357,846  $0.34
April 30, 1993......     3,416,422     0.18    3,042,358    0.16         241,324     0.01      3,283,682   0.17
July 31, 1993.......     3,503,367     0.18    3,094,861    0.16        (691,663)   (0.04)     2,403,198   0.12
October 31, 1993....     3,570,033     0.18    3,158,719    0.17       1,925,858     0.10      5,084,577   0.27
January 31, 1994....     3,648,178     0.19    3,253,314    0.17         (48,811)   --         3,204,503   0.17
April 30, 1994......     3,536,568     0.18    3,168,209    0.16      (9,555,061)   (0.50)    (6,386,852) (0.34)
July 31, 1994.......     3,603,790     0.18    3,191,200    0.16         612,747     0.04      3,803,947   0.20
October 31, 1994....     3,519,883     0.18    3,164,312    0.16      (5,145,173)   (0.26)    (1,980,861) (0.10)
January 31, 1995....     3,524,651     0.18    3,184,522    0.16       1,626,418     0.08      4,810,940   0.24
April 30, 1995......     3,416,272     0.17    3,017,427    0.16       4,484,698     0.22      7,502,125   0.38
July 31, 1995.......     3,578,666     0.18    3,178,309    0.16       2,188,738     0.11      5,367,047   0.27
October 31, 1995....     3,496,188     0.18    3,103,201    0.16       2,468,031     0.13      5,571,232   0.29
January 31, 1996....     3,487,742     0.18    3,089,124    0.16       1,821,322     0.09      4,910,446   0.25
</TABLE>


                                       19
<PAGE>

[Star]
                                                 Municipal High Income Fund Inc.
                                          Dividend Reinvestment Plan (unaudited)
================================================================================

     Under the Fund's Dividend Reinvestment and Cash Purchase Plan (the "Plan"),
a  shareholder  whose Common Stock is  registered  in his own name will have all
distributions  reinvested  automatically  by the First  Data  Investor  Services
Group,  Inc.  ("First  Data") as agent  under the Plan,  unless the  shareholder
elects to receive cash.  Distributions  with respect to shares registered in the
name of a  broker-dealer  or other nominee  (that is, in "street  name") will be
reinvested by the broker or nominee in  additional  Common Stock under the Plan,
but only if the service is provided by the broker or nominee,  and the broker or
nominee makes an election on behalf of the  shareholder  to  participate  in the
Plan. Distributions with respect to Common Stock registered in the name of Smith
Barney will  automatically  be reinvested  by Smith Barney in additional  shares
under the Plan unless the shareholder elects to receive distributions in cash. A
shareholder  who holds Common Stock  registered in the name of a broker or other
nominee  may not be able to  transfer  the  Common  Stock to  another  broker or
nominee and continue to participate in the Plan.  Investors who own Common Stock
registered  in street name should  consult  their  broker or nominee for details
regarding reinvestment.

     The number of shares of Common Stock  distributed  to  participants  in the
Plan in lieu of a cash dividend is determined in the following manner.  Whenever
the market  price of the Fund's  Common  Stock is equal to or exceeds 98% of net
asset value per share at the time shares are valued for  determining  the number
of  shares  equivalent  to the cash  dividend  or  capital  gains  distribution,
participants  will be issued shares of Common Stock valued at the greater of (i)
98% of net asset value per share or (ii) 95% of the then current  market  price.
If 98% of the net asset value per share of Common Stock at the time of valuation
exceeds the market price of the Common Stock,  First Data will buy shares of the
Fund's Common Stock on the open market, on the New York Stock Exchange,  Inc. or
elsewhere,  beginning on the record date of the dividend or distribution,  until
it has  expended  for such  purchases  all of the cash that would  otherwise  be
payable to the  participants.  The number of purchased  shares that will then be
credited to the  participants'  accounts  will be based on the average per share
purchase price of the shares so purchased,  including brokerage commissions.  If
First Data  commences  purchases  in the open market and the market price of the
shares  subsequently  exceeds 98% of their net asset value before the completion
of the  purchases,  First Data will attempt to  terminate  purchases in the open
market and cause the Fund to issue the  remaining  dividend or  distribution  in
shares at 98% of the net asset  value per  share.  In this  case,  the number of
shares of Common Stock received by the participant will be based on the weighted
average of prices paid for shares  purchased in the open market and the price at
which the Fund issues the remaining shares.

     Plan  participants are not subject to any charge for reinvesting  dividends
or  capital  gains  distributions.   Each  participant  will,  however,  bear  a
proportionate  share of  brokerage  commissions  incurred  with respect to First
Data's open market  purchases of shares of Common Stock in  connection  with the
reinvestment of dividends or capital gains  distributions.  For the three months
ended January 31, 1996, no such brokerage commissions were incurred.


                                       20
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                                                 Municipal High Income Fund Inc.
                                          Dividend Reinvestment Plan (unaudited)
                                                                     (continued)
================================================================================

     The automatic  reinvestment  of dividends  and capital gains  distributions
will not relieve Plan  participants of any income tax that may be payable on the
dividends or capital  gains  distributions.  A  participant  in the Plan will be
treated for federal  income tax  purposes as having  received,  on the  dividend
payment date, a dividend or distribution in an amount equal to the cash that the
participant could have received instead of shares of Common Stock.

     A  shareholder  may  terminate  participation  in the  Plan at any  time by
notifying First Data in writing. A termination will be effective  immediately if
notice is received  by First Data not less than 10 days  before any  dividend or
distribution record date. Otherwise, the termination will be effective, and only
with respect to any subsequent dividends or distributions,  on the first trading
day after the dividend or  distribution  has been credited to the  participant's
account  in  additional  shares of Common  Stock of the Fund.  Upon  termination
according  to a  participant's  instructions,  First Data will  either (a) issue
certificates  for  the  whole  shares  credited  to a Plan  account  and a check
representing any fractional  shares or (b) sell the shares in the market.  There
will  be  a  $5.00  fee  assessed  for  liquidation   service,   plus  brokerage
commissions,  and First  Data is  authorized  to sell a  sufficient  number of a
participant's shares to cover such amounts.

     The  Plan  is  described  in more  detail  on  pages  21-23  of the  Fund's
Prospectus  dated  August  23,  1993.  Information  concerning  the  Plan may be
obtained from First Data at (800) 331-1710.


                                       21
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                                                 Municipal High Income Fund Inc.
                                              Additional Information (unaudited)
================================================================================

     Notice is hereby given in accordance  with Section 23(c) of the  Investment
Company Act of 1940, as amended, that from time to time the Fund may purchase at
market prices  shares of its common stock in the open market.  As of January 31,
1996, the Fund has not repurchased any shares.




                                       22
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                                                 Municipal High Income Fund Inc.
                                                          Management of the Fund
================================================================================

Directors

Charles F. Barber
Allan J. Bloostein
Martin Brody
Dwight B. Crane
Robert A. Frankel
William R. Hutchinson
Heath B. McLendon, Chairman

Officers

Heath B. McLendon
Chief Executive Officer

Jessica M. Bibliowicz
President

Lewis E. Daidone
Senior Vice President
and Treasurer

Lawrence T. McDermott
Vice President and
Investment Officer

Karen Mahoney-Malcolmson
Investment Officer

Michael J. Maher
Investment Officer

Thomas M. Reynolds
Controller

Christina T. Sydor
Secretary


Investment Adviser and Administrator

Smith Barney Mutual Funds
Management Inc.
388 Greenwich Street
New York, New York 10013

Transfer Agent

First Data Investor Services Group, Inc.
P.O. Box 1376
Boston, Massachusetts 02104

Custodian

PNC Bank, N.A.
17th and Chestnut Street
Philadelphia, Pennsylvania 19103



<PAGE>



                                     [Star]



This report is sent to shareholders of Municipal High Income Fund Inc. for their
information. It is not a Prospectus, circular or representation intended for use
in the purchase or sale of shares of the Fund or of any securities mentioned in
this report.

                         Municipal High Income Fund Inc.
                              388 Greenwich Street
                                New York, NY10013
                                 (212) 723-9218

                                  FD01095 3/96


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