MUNICIPAL HIGH INCOME FUND INC
N-30D, 1996-07-03
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                                    Municipal
                                   High Income
                                    Fund Inc.


                                                          Semi-
                                                         Annual
                                                         Report

                                                         [Star]

                                                          April
                                                         30, 1996


<PAGE>

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

                         Municipal High Income Fund Inc.


Dear Shareholder:

     We are pleased to provide you with the semi-annual report for the Municipal
High Income Fund Inc. for the period ended April 30, 1996. Over the past six
months, the Fund paid dividends totaling $0.309 per share. The table below shows
the annualized distribution rates based on the Fund's April 30, 1996 net asset
value (NAV) per share and its New York Stock Exchange (NYSE) closing price.

                     Price                               Annualized
                   Per Share                          Distribution Rate
                   ---------                          -----------------
                  $9.39 (NAV)                               6.58%
                  $8.75 (NYSE)                              7.06%

Municipal Bond Market Update and Outlook

     The two main issues affecting the municipal bond market today are the
economy and, to a lesser extent since the beginning of the year, potential tax
reform. So far in 1996, the U.S. economy has been stronger than many had
originally anticipated and although the rate of inflation appears to be under
control, this stronger-than-expected economic growth has exerted upward pressure
on long-term interest rates. In our view, continued strength in the economy
should keep long-term interest rates modestly higher throughout the remainder of
1996 and into 1997. Although there may be a rally in the middle of 1996, we
believe that the bulk of the decline in long-term interest rates is behind us
until economic growth slows meaningfully.

     Reforming the complex U.S. tax code remains a popular idea among
politicians and their constituents, especially in an election year. With respect
to the flat tax, the exit of Republican candidate Steve Forbes from the
Presidential race has caused that issue to recede from the political debate.
However, between now and November, tax reform will probably move in and out of
the political spotlight as the campaign intensifies. In the meantime, we believe
the municipal bond market will be rewarding for investors who are now well
compensated for any potential downside risk from most aspects of tax reform.
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 one for the municipal bond market over the next two to three years.

     In the past few months, the volatility of the municipal bond market has
increased and municipal bond yields have reached their highest levels in over a
year. However, despite continued uncertainty over the direction of short-term
interest rates, there were some signs of a possible municipal bond market
turnaround as the higher yields offered by municipal bonds began to attract a
growing number of individual and institutional investors. In addition, supply
and demand in the tax-exempt market is as balanced as it has been in a long
time, and there does not appear to be any real weak spots or weak sectors of the
economy. In our view, all of these


                                        1

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<PAGE>

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


converging factors could provide investors with a window of opportunity in the
municipal bond market.

     Over the near term, we believe the municipal bond market will remain in its
current trading range until the Federal Reserve Board acts, which may happen
sometime this summer. However, because this is an election year, there is also a
good chance that the Federal Reserve Board may pursue a neutral interest-rate
policy and take no action until after the Presidential election is held in
November.

Fund's Investment Strategy

     Because of the Municipal High Income Fund's yield-orientation, a large
percentage of the portfolio continues to be invested in premium coupon bonds. In
light of increased volatility in the municipal bond market, we believe the
Fund's premium coupon holdings should help to cushion its net asset value per
share in turbulent markets while still providing investors with an attractive
level of income.

     To further help minimize fluctuations in its net asset value per share in a
volatile market, the Fund's portfolio is highly diversified among a number of
sectors, with a strong emphasis on industrial development and pollution control
bonds. Because in a fair number of cases these types of issues are subject to
the alternative minimum tax, we believe they were undervalued during the period
covered by this report and represented good value. In addition, as U.S.
companies have restructured and become more cost conscious in order to compete
globally, the upside potential of industrial development issues were, in our
view, quite attractive. As of April 30, 1996, the Fund's average weighted
maturity was just over 21 years.

     Thank you for investing in the Municipal High Income Fund. We look forward
to helping you achieve your financial goals.

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

May 16, 1996


                                       2

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<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                                   Schedule of Investments (unaudited)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================

LONG-TERM INVESTMENTS -- 99.7%

<C>           <C>    <S>                                                   <C>      
Alabama -- 3.3%
 $   545,000  AA-    Alabama HFA, Single-Family Mortgage Revenue,
                       10.500% due 12/1/02...............................  $   573,612
   4,000,000  BBB-   Butler, AL IDR Waste Disposal, 8.000% due 9/1/28 (a)    4,420,000
   1,000,000  BBB-   Mobile, AL IDR, 6.950% due 1/1/20...................    1,022,500
                                                                           -----------
                                                                             6,016,112
                                                                           -----------
Arizona -- 2.0%
                     Gila County, AZ IDA, PCR, (ASARCO), Series 1987:
   2,700,000  BBB      8.900% due 7/1/06.................................    2,885,625
     600,000  BBB-     8.900% due 7/1/06.................................      642,000
                                                                           -----------
                                                                             3,527,625
                                                                           -----------
California -- 2.3%
   2,000,000  NR     Los Angeles County, CA Regional Airport Authority,
                       Continental Airlines, Inc., 9.000% due 8/1/17 (a).    2,130,000
   2,000,000  BBB-   Sacramento, CA Cogeneration Authority, Electric 
                       Revenue, 6.500% due 7/1/14........................    2,017,500
                                                                           -----------
                                                                             4,147,500
                                                                           -----------
Colorado -- 3.2%
   2,000,000  NR     Colorado Health Facilities, Authority Revenue Project,
                       (Beth Israel at Shalom Park Project), 7.250% due
                       12/15/25 .........................................    2,015,000
                     Denver, CO Airport, Series A:
   1,650,000  BBB      8.500% due 11/15/23 (a)...........................    1,895,437
   1,600,000  BBB      8.000% due 11/15/25 (a)...........................    1,796,000
                                                                           -----------
                                                                             5,706,437
                                                                           -----------
Connecticut -- 0.9%
   1,500,000  NR     Connecticut State Development Authority, Health Care
                       Revenue, Series B, 8.000% due 7/1/17..............    1,546,875
                                                                           -----------
Florida -- 5.3%
     980,000  NR     Homestead, FL IDR, (Project A), 7.950% due 11/1/18..      986,125
   2,065,000  NR     Jacksonville, FL Health Facilities Authority Revenue,
                       9.125% due 10/15/19...............................    2,134,694
   2,000,000  BBB-   Martin County, FL IDR, (Indiantown Cogeneration
                      Project-A), 7.875% due 12/15/25 (a)................    2,232,500
   1,500,000  B+     Ocean Highway & Port Authority, FL PCR, Solid Waste,
                       9.375% due 11/1/04 ...............................    1,543,125
</TABLE>


                          See Notes to Financial Statements.


                                          3

<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================

<C>           <C>    <S>                                                   <C>      
Florida -- 5.3% (continued)
   $ 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 Call @ 102), 8.875% due 
                       12/1/18 (b).......................................  $ 1,114,281
   1,000,000  NR     Sanford Airport Authority, FL IDR, (Central Florida
                       Terminal Inc. Project-A), 7.750% due 5/1/21 (a)...      938,750
     650,000  NR     Tampa, FL (Aquarium Inc. Revenue Project),
                       7.750% due 5/1/27.................................      642,688
                                                                           -----------
                                                                             9,592,163
                                                                           -----------
Georgia -- 0.6%
   1,000,000  NR     Walton County, GA IDA, (Walton Project), 8.500% 
                       due 9/1/07 .......................................    1,050,000
                                                                           -----------
Illinois -- 8.0%
   2,900,000  BB     Chicago, IL O'Hare International Airport, Special
                       Facilities Revenue Bonds, United Airlines, Series B,
                       8.950% due 5/1/18 (a).............................    3,251,625
                     Chicago, IL Skyway Toll Bridge:
   2,000,000  BBB-     6.500% due 1/1/10.................................    2,025,000
   1,700,000  BBB-     6.750% due 1/1/17.................................    1,721,250
   2,000,000  BB-    East Chicago, IL IDA Revenue, Inland Steel Company,
                       Project 10, 6.800% due 6/1/13.....................    1,982,500
   1,835,000  NR     Hanover Park, IL First Mortgage, (Windsor Manor
                       Project), 9.250% due 12/1/07......................    1,910,694
   1,750,000  NR     Hennepin, IL IDA Revenue, (Metchem Corp. Project),
                       10.250% due 1/1/05 (a)(c).........................       30,000
   1,500,000  A+     Illinois Housing Development Authority, Series 5,
                       6.750% due 9/1/23.................................    1,558,125
     785,000  NR     Loves Park, IL First Mortgage Revenue, (Hoosier Care 
                       Project), Series A, 9.750% due 8/1/19.............      836,025
     990,000  NR     Sterling, IL First Mortgage Revenue, (Hoosier Care 
                       Project), Series A, 9.750% due 8/1/19.............    1,054,350
                                                                           -----------
                                                                            14,369,569
                                                                           -----------
Indiana -- 2.0%
   3,750,000  BB     Indianapolis, IN Indianapolis Airport Authority,
                       6.500% due 11/15/31 (a)...........................    3,689,062
                                                                           -----------
Kentucky -- 2.2%
   1,320,000  A1*    Jefferson County, KY Health Facilities Authority,
                       Dates Beverly Enterprise, 10.125% due 5/1/08......    1,453,650
   1,500,000  BB     Kenton County, KY Airport Board Delta Airlines
                       7.500% due 2/1/20 (a).............................    1,586,250
</TABLE>


                          See Notes to Financial Statements.

                                          4

<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================

<C>           <C>    <S>                                                   <C>      
Kentucky -- 2.2% (continued)
 $ 1,000,000  A      Pendleton County, KY Multi-Lease Revenue, Series A,
                       6.500% due 3/1/19.................................  $ 1,011,250
                                                                           -----------
                                                                             4,051,150
                                                                           -----------
Louisiana -- 7.2%
   1,200,000  Baa3*  Lake Charles, LA (Harbor & Terminal Project),
                       7.750% due 8/15/22................................    1,330,500
                     Port New Orleans, LA IDA Revenue:
                       Avondale Industries, Inc. Project:
   2,000,000  NR         8.250% due 6/1/04...............................    2,220,000
   3,000,000  NR         8.500% due 6/1/14...............................    3,300,000
   1,000,000  BB-      Continental Grain Company Project, 7.500% due 7/1/13  1,035,000
   2,750,000  BBB-   St. Charles Parish, LA Power & Light Co. Project 
                       Revenue, 6.375% due 11/1/25 (a)...................    2,581,563
   2,400,000  BB+    West Feliciana Parish, LA PCR, 8.000% due 12/1/24...    2,553,000
                                                                           -----------
                                                                            13,020,063
                                                                           -----------
Maine -- 0.6%
                     Maine State Housing Authority Mortgage Purchases:
     500,000  AA-      Series C-2, 7.000% due 11/15/32(a) ...............      516,875
     585,000  AA-      Series D-1, 8.300% due 11/15/28(a) ...............      595,969
                                                                           -----------
                                                                             1,112,844
                                                                           -----------
Massachusetts --  5.9%
   1,980,000  NR     Commonwealth of Massachusetts Health & Educational
                       Facilities Authority Revenue, North Adams State
                       College, 9.625% due 12/1/18.......................    2,074,050
                     Commonwealth of Massachusetts Industrial Finance
                       Agency (S.E. Mass Project):
   1,700,000  NR         Series A, 9.000% due 7/1/15.....................    1,884,875
   5,940,000  NR         Series B, 9.250% due 7/1/15 (a).................    6,608,250
                                                                           -----------
                                                                            10,567,175
                                                                           -----------
Michigan -- 1.5%
   1,000,000  BBB    Detroit, MI GO, Series A, 6.800% due 4/1/15.........    1,047,500
   1,500,000  BBB+   Western Townships, MI Utility Revenue, Sewage System,
                       8.300% due 1/1/19.................................    1,612,500
                                                                           -----------
                                                                             2,660,000
                                                                           -----------
Minnesota -- 1.2%
   2,000,000  AA+    Minnesota HFA, Single-Family, Series H,
                       6.700% due 1/1/18.................................    2,090,000
                                                                           -----------
</TABLE>


                          See Notes to Financial Statements.

                                          5

<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================

<C>           <C>    <S>                                                   <C>      
Mississippi -- 2.8%
                     Claiborne County, MS PCR, Series C:
 $ 3,300,000  NR       9.875% due 12/1/14................................  $ 3,716,625
   1,500,000  BBB-     6.200% due 2/1/26.................................    1,396,875
                                                                           -----------
                                                                             5,113,500
                                                                           -----------
New Hampshire  -- 2.1%
                     New Hampshire State IDA, United Illuminating Co.:
   1,000,000  BBB-     Series A, 9.375% due 7/1/12 (a)...................    1,065,000
   2,500,000  BBB-     Series B, 10.750% due 10/1/12 (a).................    2,750,000
                                                                           -----------
                                                                             3,815,000
                                                                           -----------
New Jersey -- 3.2%
   1,300,000  NR     New Jersey Educational Facilities, Farliegh Dickinson
                       University, Series C, 6.625% due 7/1/23...........    1,194,375
                     New Jersey Health Care Facilities:
   1,685,000  Ba*      Palisades Medical Center, Finance Authority Revenue,
                         7.600% due 7/1/21...............................    1,634,450
   1,000,000  NR       Raritan Bay Medical Center, 7.250% due 7/1/27.....    1,008,750
   1,500,000  BBB-     Zurbrugg Memorial Hospital, Series C, 8.500% due
                         7/1/12 .........................................    1,576,875
     310,000  AAA    New Jersey Housing and Mortgage Finance Agency,
                       Home Buyer Revenue, Series E, MBIA-Insured,
                       7.650% due 10/1/16................................      325,113
                                                                           -----------
                                                                             5,739,563
                                                                           -----------
New Mexico -- 0.9%
   1,605,000  AA     New Mexico Mortgage Finance Authority, Single-Family
                       Mortgage Program, Series B, 8.300% due 3/1/20 (a).    1,649,137
                                                                           -----------
New York -- 5.8%
   1,680,000  NR     Babylon, NY IDA, (Recycling Project), Series A,
                       8.875% due 3/1/11 (c).............................      672,000
                     New York City, NY, COP:
   4,715,000  BBB+     Series F, 6.625% due 2/15/25......................    4,750,363
   1,000,000  BBB+     Series H, 7.000% due 2/1/21.......................    1,047,500
   2,000,000  BBB+   New York City, NY GO Unlimited, Series G,
                       6.000% due 2/1/11.................................    1,930,000
   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)..........    1,976,812
                                                                           -----------
                                                                            10,376,675
                                                                           -----------
</TABLE>


                          See Notes to Financial Statements.

                                          6

<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================

<C>           <C>    <S>                                                   <C>      
North Carolina -- 3.9%
 $ 1,750,000  A      Martin County, NC Industrial Facilities PCR,
                       6.800% due 5/1/24 (a).............................  $ 1,826,562
   2,300,000  BBB+   North Carolina Eastern Municipal Power Agency,
                       Power Systems Revenue, Series B, 7.000% due 1/1/08    2,484,000
   2,750,000  A      North Carolina Municipal Power Agency No. 1, Catawaba
                       Electric Revenue, 6.250% due 1/1/17...............    2,743,125
                                                                           -----------
                                                                             7,053,687
                                                                           -----------
Ohio -- 2.7%
   1,000,000  NR     Cleveland, OH Airport Special Revenue,
                       Continental Airlines Inc., 9.000% due 12/1/19 (a).    1,043,750
   1,000,000  NR     Cuyahoga County, OH Health Care Facilities, Judson
                       Retirement Community, 8.875% due 11/15/19.........    1,081,250
   1,500,000  BBB    Montgomery County, OH Health Systems Revenue, Series
                       B, 8.100% due 7/1/18..............................    1,650,000
   1,000,000  BB+    Ohio Water Development Authority, PCR, Series A,
                       8.100% due 10/1/23 (a)............................    1,067,500
                                                                           -----------
                                                                             4,842,500
                                                                           -----------
Pennsylvania -- 13.6%
   2,200,000  B-     Allegheny County, PA IDA, Special Facilities Revenue,
                       Series B, (U.S. Air Project), 8.500% due
                       3/1/21 (a)........................................    2,312,750
                     Beaver County, PA IDA, PCR:
   2,500,000  BB       7.625% due 5/1/25.................................    2,556,250
   2,000,000  BB       7.625% due 5/1/20.................................    2,045,000
   1,500,000  NR     Delaware County, PA IDA, First Mortgage, White Horse,
                       9.700% due 7/1/09.................................    1,586,250
   3,000,000  AAA    Lebanon County, PA Samaritan House, Series B,
                       (Pre-Refunded -- Escrowed with U.S. Government
                       Securities to 11/1/99 Call @ 102), 8.250% due
                       11/1/18 (b) ......................................    3,401,250
   2,500,000  BBB-   Luzerne County, PA IDA, 7.125% due 12/1/22 (a)......    2,571,875
   2,000,000  Ba1*   Montgomery County, PA Higher Education & Health
                       Authority, 8.375% due 11/1/11.....................    2,130,000
     625,000  NR     Northumberland County, PA IDA Revenue, 6.875% due 
                       2/1/03 ...........................................      624,219
   1,500,000  AA+    Pennsylvania HFA, Series C, 6.900% due 4/1/25 (a)...    1,569,375
   1,000,000  NR     Philadelphia, PA IDR, Host Marriott, 7.750% due
                       12/1/17 (a) ......................................    1,017,500
   1,970,000  BBB-   Philadelphia, PA Gas Revenue, Series B, 6.400% due
                       11/15/16 .........................................    1,947,837
   1,500,000  BB+    Scranton-Lackawanna, PA Health & Welfare Authority,
                       Mercy Health Systems, Series B, 8.500% due 7/1/20.    1,597,500
   1,250,000  BBB+   Sharon, PA Regional Health Systems, (Project B),
                       6.875% due 12/1/22................................    1,253,125
                                                                           -----------
                                                                            24,612,931
                                                                           -----------
</TABLE>

                          See Notes to Financial Statements.


                                          7
<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================
<C>           <C>    <S>                                                   <C>      
South Carolina -- 0.5%
   $ 910,000  NR     McCormick County, SC COP, 9.750% due 7/1/09.........    $ 935,025
                                                                            ----------
South Dakota -- 1.2%
                     Oglala Sioux Tribe, SD Pine Ridge County, Revenue Bonds:
     260,000  NR       7.000% due 7/1/99.................................      261,300
   1,865,000  NR       7.500% due 7/1/13.................................    1,878,988
                                                                            ----------
                                                                             2,140,288
                                                                            ----------
Tennessee -- 0.4%
     750,000  AAA    Knox County, TN Health Education & Housing, FSA-Insured,
                       7.125% due 1/1/30.................................      806,250
                                                                            ----------
Texas -- 12.7%
   3,500,000  BBB    Alliance, TX Airport Authority Inc., (Federal
                       Express Corporation Project),
                       6.375% due 4/1/21 (a).............................    3,430,000
     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 Co., Project A):
   1,000,000  BBB        9.875% due 10/1/17 (a)..........................    1,076,250
   2,000,000  BBB        8.250% due 1/1/19 (a)...........................    2,157,500
   1,250,000  A*     El Paso, TX Housing Finance Corporation,
                       Single-Family Mortgage Revenue, 8.750% due 10/1/11    1,350,000
   2,000,000  B      El Paso, TX International Airport Revenue
                       Bonds, (Marriott Corporation Project),
                       7.750% due 3/1/12.................................    2,050,000
   1,215,000  NR     Harris County, TX Industrial Development
                       Corporation, IDR Continental Airlines Inc.,
                       7.950% due 7/1/19.................................    1,181,588
     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...............................    1,001,250
   1,400,000  A          Series A, 7.875% due 2/1/19.....................    1,487,500
   1,400,000  AA     North Central, TX Health Facilities Development Project,
                       Hospital-Baylor Health Care Systems, (Project B),
                       Variable Rate, 7.600% due 5/15/08.................    1,501,500
                     Northgate Crossing, TX Municipals Utilities:
   1,000,000  NR       District 1, GO, 8.875% due 12/1/13................      946,250
   1,000,000  NR       District 2, Special Tax, 8.875% due 12/1/13.......      946,250
</TABLE>


                           See Notes to Financial Statements.


                                          8
<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================
<C>           <C>    <S>                                                   <C>      
Texas -- 12.7% (continued)
   $ 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....................    2,700,300
   2,000,000  BBB-       Series B, 10.625% due 6/1/08 (a)................    2,169,340
                                                                           -----------
                                                                            22,848,678
                                                                           -----------
Utah -- 1.1%
   1,765,000  NR     Hurricane, UT (Health Services Project),
                      10.500% due 7/1/20.................................    1,948,118
                                                                           -----------
Vermont -- 1.4%
   2,365,000  A1*    Vermont Housing Finance Agency, Home Mortgage,
                       Series BN, 8.100% due 6/1/22 (a)..................    2,459,600
                                                                           -----------
West Virginia -- 1.1%
   2,500,000  NR     Marion County, WV County Commission, Solid
                       Waste Disposal Facility, 7.750% due 12/1/11 (a)...    2,018,750
                                                                           -----------
Puerto Rico -- 0.1%
     200,000  A      Commonwealth of PR, GO Bonds, 8.000% due 7/1/08.....      216,000
                                                                           -----------
                     TOTAL LONG-TERM INVESTMENTS
                     (Cost -- $176,028,886) .............................  179,722,277
                                                                           -----------
</TABLE>


                           See Notes to Financial Statements.


                                           9
<PAGE>

<TABLE>
<CAPTION>
[Star]
                                                       Municipal High Income Fund Inc.
                                       Schedule of Investments (unaudited) (continued)
                                                                        April 30, 1996
======================================================================================
 FACE
AMOUNT        RATING                   SECURITY                                VALUE
======================================================================================
<C>           <C>    <S>                                                   <C>      
SHORT-TERM INVESTMENT -- 0.3%
Texas -- 0.3%
   $ 600,000  VMIG 1*Brazos River Authority, TX PCR, Series A, AMBAC-Insured,
                       4.250% due 3/1/26 (a)............................. $    600,000
                                                                          ------------

                     TOTAL SHORT-TERM INVESTMENT
                     (Cost -- $600,000)..................................      600,000
                                                                          ------------
                     TOTAL INVESTMENTS -- 100%
                     (Cost -- $176,628,886*)............................. $180,322,277
                                                                          ============
</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 the
     investment adviser to be triple-A rated even if the 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).
*    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
                                 April 30, 1996
- --------------------------------------------------------------------------------
                                           Standard &          Percent of
            Moody's        and/or           Poor's          Total Investments
            -------                         ------          -----------------
            Aaa                              AAA                  1.2%
             Aa                              AA                   4.7
             A                                A                   8.5
            Baa                              BBB                 40.6
             Ba                              BB                   9.8
             B                               B                    3.3
            VMIG 1                           SP-1                 0.3
             NR                               NR                 31.6
                                                                -----
                                                                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 exposures 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

VMIG 1     -- Moody's highest rating for issues having demand
              feature -- variable-rate demand obligation (VRDO).

SECURITY DESCRIPTIONS
- ---------------------
ABAG       -- 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)
                                                                  April 30, 1996
================================================================================

ASSETS:
   Investments, at value (Cost-- $176,628,886) .................  $ 180,322,277
   Cash ........................................................         35,599
   Interest receivable .........................................      4,663,341
   Receivable for securities sold ..............................        130,248
                                                                  -------------
   Total Assets ................................................    185,151,465
                                                                  -------------

LIABILITIES:
   Dividends payable ...........................................        302,900
   Investment advisory fees payable ............................         61,442
   Administration fees payable .................................         30,460
   Accrued expenses ............................................        212,200
   Other liabilities ...........................................         14,277
                                                                  -------------
   Total Liabilities ...........................................        621,279
                                                                  -------------
Total Net Assets ...............................................  $ 184,530,186
                                                                  =============
NET ASSETS:
   Par value of capital shares .................................  $     196,599
   Capital paid in excess of par value .........................    182,673,658
   Undistributed net investment income .........................         76,855
   Accumulated net realized loss on security transactions ......     (2,110,317)
   Net unrealized appreciation of investments ..................      3,693,391
                                                                  -------------
Total Net Assets
   (Equivalent to $9.39 a share on 19,659,882 shares of
     $0.01 par value outstanding; 500,000,000 shares authorized)  $ 184,530,186
                                                                  =============


                       See Notes to Financial Statements.


                                       13
<PAGE>

[STAR]
                                                 Municipal High Income Fund Inc.
                                             Statement of Operations (unaudited)
                                         For the Six Months Ended April 30, 1996
================================================================================
INVESTMENT INCOME:
   Interest ..................................................     $  6,892,953
                                                                   ------------
EXPENSES:
   Investment advisory fees (Note 2) .........................          373,761
   Administration fees (Note 2) ..............................          186,881
   Shareholder communications ................................           79,651
   Audit and legal ...........................................           55,694
   Directors' fees ...........................................           21,404
   Registration fees .........................................           12,929
   Shareholder and system servicing fees .....................           12,531
   Pricing service fees ......................................            6,829
   Custody ...................................................            4,671
   Other .....................................................           13,985
                                                                   ------------
   Total Expenses ............................................          768,336
                                                                   ------------
Net Investment Income ........................................        6,124,617
                                                                   ------------

REALIZED AND UNREALIZED GAIN (LOSS)
ON INVESTMENTS (NOTE 3):
  Realized Gain From Security Transactions
  (excluding short-term securities):
    Proceeds from sales ......................................       20,823,780
    Cost of securities sold ..................................       19,997,512
                                                                   ------------
  Net Realized Gain ..........................................          826,268
                                                                   ------------

  Change in Net Unrealized Appreciation of Investments:
    Beginning of period ......................................        7,086,829
    End of period ............................................        3,693,391
                                                                   ------------
  Decrease in Net Unrealized Appreciation ....................       (3,393,438)
                                                                   ------------
Net Loss on Investments ......................................       (2,567,170)
                                                                   ------------
Increase in Net Assets From Operations .......................     $  3,557,447
                                                                   ============


                       See Notes to Financial Statements.


                                       14
<PAGE>

[STAR]
                                                 Municipal High Income Fund Inc.
                                              Statement of Changes in Net Assets
                             For the Six Months Ended April 30, 1996 (unaudited)
                                             and the Year Ended October 31, 1995
================================================================================
<TABLE>
<CAPTION>
                                                             1996            1995
                                                            ------          ------
<S>                                                     <C>              <C>          
OPERATIONS:
   Net investment income ............................   $   6,124,617    $  12,483,459
   Net realized gain (loss) .........................         826,268         (269,935)
   Increase (decrease) in net unrealized appreciation      (3,393,438)      11,037,820
                                                        -------------    -------------
   Increase in Net Assets From Operations ...........       3,557,447       23,251,344
                                                        -------------    -------------
DISTRIBUTIONS TO
SHAREHOLDERS FROM:
   Net investment income ............................      (6,074,905)     (12,736,819)
                                                        -------------    -------------
   Decrease in Net Assets From
     Distributions to Shareholders ..................      (6,074,905)     (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 (Decrease) in Net Assets ...................      (2,517,458)      10,668,689

NET ASSETS:
   Beginning of period ..............................     187,047,644      176,378,955
                                                        -------------    -------------
   End of period* ...................................   $ 184,530,186    $ 187,047,644
                                                        =============    =============

*Includes undistributed net investment income of: ...   $      76,855    $      27,143
                                                        =============    =============
</TABLE>


                       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 investments and securities 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) dividends and distribution to shareholders are recorded
on the ex-dividend date; (g) 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 (h) 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 six months ended April 30, 1996, the aggregate cost of purchases
and proceeds from sales of investment securities, excluding short-term
investments, aggregated $19,591,490 and $20,823,780, respectively.

     At April 30, 1996, aggregate gross unrealized appreciation for all
securities in which there was an excess of market value over tax cost amounted
to approximately $8,386,615, and aggregate gross unrealized depreciation for all
securities in which there was an excess of tax cost over market value amounted
to approximately $4,693,224 or a net unrealized appreciation of $3,693,391.


                                       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>
<S>                                                                                                      <C>
         <C>                                      <C>              <C>          <C>       <C>          Value as a
                                            Acquisition        Par                  Percentage
     Security                                  Date          Amount       Value    of Net Assets      Cost
     --------                               -----------    ---------     -------   ------------    ----------

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      0.364        1,663,106
Hennepin, IL IDA, 10.250% due 1/1/05         3/17/89       1,750,000       30,000      0.016        1,750,000
La Salle County, TX Jail Facilities                                                               
  Financing Corporation,                                                                          
  9.750% due 8/1/09                         10/10/89         840,000        8,400      0.005          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. Capital Shares

     At April 30, 1996, the Fund had 500,000,000 shares of capital stock
authorized with a par value of $0.01 per share.

     Capital 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 income tax purposes
$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 Amounts                                   $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 ...........         0.31             0.64           0.65           0.67           0.70           0.74
  Net realized and unrealized
  gain (loss) .....................        (0.12)            0.54          (0.72)          0.23           0.06           0.15
                                      ----------       ----------     ----------     ----------     ----------     ----------
Total Income (Loss) From Operations         0.19             1.18          (0.07)          0.90           0.76           0.89
                                      ----------       ----------     ----------     ----------     ----------     ----------
Less Distributions From:
  Net investment income ...........        (0.31)           (0.65)         (0.65)         (0.67)         (0.69)         (0.75)
  Net realized gains ..............         --               --            (0.02)          --             --             --
                                      ----------       ----------     ----------     ----------     ----------     ----------
Total Distributions ...............        (0.31)           (0.65)         (0.67)         (0.67)         (0.69)         (0.75)
                                      ----------       ----------     ----------     ----------     ----------     ----------

Net Asset Value, End of Period ....   $     9.39       $     9.51     $     8.98     $     9.72     $     9.49     $     9.42
                                      ----------       ----------     ----------     ----------     ----------     ----------
Total Return ......................         2.24%++         14.00%        (11.79)%        17.07%          2.74%         17.88%
                                      ----------       ----------     ----------     ----------     ----------     ----------
Net Assets, End of Period (000s) ..   $  184,530       $  187,048     $  176,379     $  188,294     $  179,104     $  173,290
                                      ==========       ==========     ==========     ==========     ==========     ==========
Ratios to Average Net Assets:

  Expenses ........................         0.83%+           0.84%          0.84%          0.87%          0.87%          0.90%
  Net investment income ...........         6.57+            6.87           6.98           6.89           7.31           7.90
Portfolio Turnover Rate ...........           11%              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 six months ended April 30, 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 (unaudited)
================================================================================

                                                                      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          8.750         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          8.875         9.59        0.0510        8.88
 2/20/96       2/23/96          8.750         9.57        0.0510        8.86
 3/26/96       3/29/96          8.875         9.43        0.0510        8.86
 4/23/96       4/26/96          8.750         9.38        0.0510        8.90

*As of Record Date.


                                       19
<PAGE>

[STAR]
                                                 Municipal High Income Fund Inc.
                                     Quarterly Results of Operations (unaudited)
================================================================================
<TABLE>
<CAPTION>
                                                                   Net Realized              Net Increase
                                              Net                 and Unrealized              (Decrease)
                 Investment               Investment                Gain (Loss)              in Net Assets
                   Income                   Income                on Investments            From Operations
           ----------------------   ----------------------   -----------------------    -----------------------
 Quarter                    Per                      Per                       Per                        Per
  Ended       Total        Share       Total        Share       Total         Share        Total         Share
- --------   -----------   --------   -----------   --------   -----------    --------    -----------    --------
<S>        <C>           <C>        <C>           <C>        <C>            <C>         <C>            <C>     
 1/31/93   $ 3,823,950   $   0.20   $ 3,413,585   $   0.18   $ 2,944,261    $   0.16    $ 6,357,846    $   0.34
 4/30/93     3,416,422       0.18     3,042,358       0.16       241,324        0.01      3,283,682        0.17
 7/31/93     3,503,367       0.18     3,094,861       0.16      (691,663)      (0.04)     2,403,198        0.12
10/31/93     3,570,033       0.18     3,158,719       0.17     1,925,858        0.10      5,084,577        0.27
 1/31/94     3,648,178       0.19     3,253,314       0.17       (48,811)        --       3,204,503        0.17
 4/30/94     3,536,568       0.18     3,168,209       0.16    (9,555,061)      (0.50)    (6,386,852)      (0.34)
 7/31/94     3,603,790       0.18     3,191,200       0.16       612,747        0.04      3,803,947        0.20
10/31/94     3,519,883       0.18     3,164,312       0.16    (5,145,173)      (0.26)    (1,980,861)      (0.10)
 1/31/95     3,524,651       0.18     3,184,522       0.16     1,626,418        0.08      4,810,940        0.24
 4/30/95     3,416,272       0.17     3,017,427       0.16     4,484,698        0.22      7,502,125        0.38
 7/31/95     3,578,666       0.18     3,178,309       0.16     2,188,738        0.11      5,367,047        0.27
10/31/95     3,496,188       0.18     3,103,201       0.16     2,468,031        0.13      5,571,232        0.29
 1/31/95     3,487,742       0.18     3,089,124       0.16     1,821,322        0.09      4,910,446        0.25
 4/30/96     3,405,211       0.17     3,035,493       0.15    (4,388,492)      (0.21)    (1,352,999)      (0.06)
</TABLE>


                                       20
<PAGE>

[STAR]
                                                 Municipal High Income Fund Inc.
                                                      Dividend Reinvestment Plan
================================================================================

     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.


                                       21
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                                                 Municipal High Income Fund Inc.
                                          Dividend Reinvestment Plan (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.


                                       22
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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 April 30,
1996, the Fund has not repurchased any shares.




                                       23
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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

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


                                       24
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                                     [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

                                  FD01139 6/96




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