MUNICIPAL HIGH INCOME FUND INC
N-30D, 1995-03-27
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<PAGE>
O                                                                              O
 
                                   MUNICIPAL
                                  HIGH INCOME
                                   FUND INC.
 
                                                          QUARTERLY
                                                            REPORT
                                                        Fund name
                                                        centered on cover,
                                                  no graphics or charts
                                            O
 
                                                           JANUARY
                                                           31, 1995
<PAGE>
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----------------------
                                       O
                        MUNICIPAL HIGH INCOME FUND INC.
Dear Shareholder:
 
    We  are pleased  to provide the  quarterly report for  Municipal High Income
Fund Inc. for the quarter  ended January 31, 1995.  Over the past three  months,
the  Fund paid dividends totaling $0.162  per share, equivalent to an annualized
distribution rate of 7.15% based on the Fund's January 31, 1995 net asset  value
of  $9.06 per share and 7.41% based on the New York Stock Exchange closing price
on that date of $8.75.
 
MARKET AND PORTFOLIO UPDATE
 
    The fixed-income  markets,  both tax-exempt  and  taxable, continued  to  be
extremely  volatile  in the  last two  months  of 1994  amid concerns  about the
Federal  Reserve's  tighter  monetary  policy  and  the  potential  for   higher
short-term interest rates to control inflation, tax selling by investors and, in
early  December, the bankruptcy filing by Orange County, California. These three
events rattled the tax-exempt market and resulted in a negative total return  on
most longer-term, tax-exempt investments.
 
    It  was not until late December and  early January that the municipal market
began to rebound. Investors became more convinced that the declines in price for
most fixed income securities now  provided an excellent investment  opportunity.
Prices  for tax-exempt bonds rebounded as demand from investors exceeded supply.
Although the tax-exempt  market could  experience some bouts  of downward  price
pressure  should supply  unexpectedly increase, we  still view this  as a buying
opportunity. The Federal  Reserve has  been successful  in slowing  the rate  of
economic  growth and  controlling the  potential for  higher inflation. Although
most market watchers expect some slight increase in the Federal funds rate  (the
rate  banks charge each other  for overnight loans and  a sensitive indicator of
the direction of short-term interest rates), long-term interest rates are likely
to be less volatile than they were  in 1994. In fact, we believe that  municipal
securities have the potential this year to be one of the best-performing sectors
of the fixed-income market.
 
    The  Fund was fully invested in  long-term tax-exempt issues during the past
quarter because  we  believe the  longer  maturities currently  offer  the  best
investment  value. At the end  of this quarter, nearly  52% of the portfolio was
invested in securities  rated as investment  grade by either  Standard &  Poor's
Corporation  or Moody's Investors Service. The  Fund did not hold any securities
issued by Orange County, California; in fact,  at the end of this quarter,  only
1.2% of the portfolio was invested in California bonds.
 
    We  are pleased to report that Morningstar, Inc., a widely-recognized mutual
fund evaluation organization, in its September 23, 1994 review, awarded the Fund
a four-star rating (out of a possible five) for the most recent review period as
well as a four-star rating for three and five years. The March 1995 issue of THE
CLOSED-END FUND DIGEST also
 
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<PAGE>
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                                       O
recommends the Fund as a  "Buy." We are pleased  with this recognition and  will
endeavor  to  maintain this  performance  record. We  appreciate  your continued
confidence and  support, and  look forward  to reporting  to you  in the  Fund's
semi-annual  report. Should you have any  questions about your investment in the
Fund, please call The Shareholder Services Group, Inc. at (800) 331-1710.
 
Sincerely,
 
<TABLE>
<S>                <C>
Heath B. McLendon  Lawrence T. McDermott
CHAIRMAN OF THE    VICE PRESIDENT AND INVESTMENT
BOARD              OFFICER
 
March 20, 1995
</TABLE>
 
                                       2
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<PAGE>
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                                       O
                            UNAUDITED FINANCIAL DATA
                           PER SHARE OF COMMON STOCK
 
<TABLE>
<CAPTION>
                                                                 CAPITAL
                          NYSE                                    GAINS       DIVIDEND
 RECORD       PAY        CLOSING      NET ASSET    DIVIDEND     DIVIDEND    REINVESTMENT
  DATE       DATE        PRICE*        VALUE*        PAID         PAID          PRICE
---------  ---------  -------------  -----------  -----------  -----------  -------------
<S>        <C>        <C>            <C>          <C>          <C>          <C>
  2/18/94    2/28/94    $   9.500     $    9.60    $   .0540       --         $    9.41
  3/24/94    3/31/94        9.125          9.42        .0540       --              8.96
  4/22/94    4/30/94        8.875          9.21        .0540       --              9.01
  5/23/94    5/31/94        9.000          9.18        .0540       --              9.00
  6/23/94    6/30/94        9.000          9.23        .0540       --              8.98
  7/22/94    7/31/94        9.125          9.20        .0540       --              9.02
  8/24/94    8/31/94        8.750          9.22        .0540       --              8.87
  9/23/94    9/30/94        8.500          9.13        .0540       --              8.66
 10/24/94   10/31/94        8.375          9.03        .0540       --              8.17
 11/22/94   11/30/94        8.125          8.71        .0540       --              8.34
 12/22/94   12/31/94        8.125          8.84        .0540       --              8.29
  1/24/95    1/31/95        8.625          8.99        .0540       --              8.83
</TABLE>
 
                                DIVIDEND DATA**
 
<TABLE>
<CAPTION>
                                         EQUIVALENT TAXABLE DISTRIBUTION RATE
                                        ---------------------------------------
 PER SHARE    ANNUALIZED    ASSUMING     ASSUMING     ASSUMING      ASSUMING
 DIVIDEND    DISTRIBUTION  28% FEDERAL  31% FEDERAL  36% FEDERAL  39.6% FEDERAL
DISTRIBUTIONS     RATE     TAX BRACKET  TAX BRACKET  TAX BRACKET   TAX BRACKET
-----------  ------------  -----------  -----------  -----------  -------------
<S>          <C>           <C>          <C>          <C>          <C>
 $   0.648      7.15%         9.93%       10.36%       11.17%        11.84%
<FN>
------------
 * As of Record Date.
** Based on January 31, 1995 net asset value of $9.06 per share.
</TABLE>
 
    Generally, each registered  shareholder is considered  a participant in  the
Fund's  Dividend Reinvestment Plan, unless the shareholder elects to receive all
dividends and  distributions in  cash, or  unless the  shareholder's shares  are
registered  in the name  of a broker,  bank or nominee  (other than Smith Barney
Inc.)  which  does  not  provide  the  service.  Questions  and   correspondence
concerning  the Dividend Reinvestment Plan should be directed to The Shareholder
Services Group, Inc., P.O. Box 1376, Boston, Massachusetts 02104. If  interested
in  joining or for  more information concerning  the Dividend Reinvestment Plan,
please call TSSG at 1-800-331-1710.
 
                                       3
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<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                        Portfolio of Investments
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
                         KEY TO INSURANCE ABBREVIATIONS
 
                   MBIA -- MUNICIPAL BOND INVESTORS ASSURANCE
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 <C>         <S>                                             <C>      <C>         <C>
 MUNICIPAL BONDS AND NOTES--99.0%
             ALABAMA--2.7%
 $  655,000  Alabama Housing Finance Authority, Single
               Family Mortgage Revenue,
               10.500% due 12/01/02........................  A1       AA          $     687,750
  4,000,000  Butler, Alabama, Industrial Development
               Revenue,
               8.000% due 09/01/28.........................  NR       BBB-            4,095,000
             ARIZONA--2.0%
  3,300,000  Gila County, Arizona, Industrial Development
               Authority, Pollution Control Revenue,
               (ASARCO), Series 1985,
               8.900% due 07/01/06.........................  Baa2     BBB             3,579,375
             ARKANSAS--1.6%
  2,750,000  Pope County, Arkansas, Pollution Control
               Revenue, (Arkansas Power & Light Company
               Project),
               11.000% due 12/01/15........................  Baa2     BBB             2,904,688
             CALIFORNIA--1.2%
  2,000,000  Los Angeles County, California, Regional
               Airport Authority, (Continental Airlines,
               Inc.),
               9.000% due 08/01/17.........................  NR       NR              2,127,500
             COLORADO--2.6%
  1,250,000  Colorado Health Facilities, Authority Revenue
               Project, (Beth Israel at Shalom Park
               Project),
               8.000% due 12/15/22.........................  NR       NR              1,260,938
             Denver, Colorado, Airport, Series A:
  1,650,000    8.500% due 11/15/23.........................  Baa      BBB-            1,716,000
  1,600,000    8.000% due 11/15/25.........................  Baa      BB              1,620,000
             CONNECTICUT--0.8%
  1,500,000  Connecticut State, Development Authority,
               Health Care Revenue, Series B,
               8.000% due 07/01/17.........................  NR       NR              1,443,750
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       4
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             FLORIDA--6.8%
 $1,000,000  Hillsborough County, Florida, Industrial
               Development Revenue, (Seaboard Tampa
               Terminals Venture Project),
               8.600% due 01/15/22.........................  B2       B-          $     873,750
  1,000,000  Homestead, Florida, Industrial Development
               Revenue, Project A,
               7.950% due 11/01/18.........................  NR       NR                920,000
  2,090,000  Jacksonville, Florida, Health Facilities
               Authority, Health Facilities Revenue,
               9.125% due 10/15/19.........................  NR       NR              2,123,963
  1,000,000  Lady Lake, Florida, Industrial Development
               Project Revenue, (Sunbelt Utilities Inc.
               Project),
               9.500% due 07/01/10.........................  NR       NR              1,195,000
  2,000,000  Martin County, Florida, Industrial Development
               Revenue,
               7.875% due 12/15/25.........................  Baa3     BBB-            2,075,000
  1,500,000  Ocean Highway & Port Authority, Florida,
               Pollution Control Revenue, Solid Waste,
               9.375% due 11/01/04.........................  NR       B+              1,498,125
             Palm Beach County, Florida, Health Facilities
               Authority, Insured Hospital Revenue, (JFK
               Medical Center):
  1,125,000    8.875% due 12/01/18.........................  NR       BBB             1,215,000
  1,320,000    8.875% due 12/01/18 (prerefunded)...........  NR       NR              1,496,550
    650,000  Tampa, Florida, (Aquarium Inc. Revenue
               Project),
               7.750% due 05/01/27.........................  NR       NR                659,750
             GEORGIA--0.6%
  1,000,000  Walton County, Georgia, Industrial Development
               Authority, (Walton Project),
               8.500% due 09/01/07.........................  NR       NR              1,012,500
             ILLINOIS--6.8%
  2,987,500  Chicago, Illinois, O'Hare International
               Airport, Special Facilities Revenue Bonds,
               Series B,
               8.950% due 05/01/18.........................  Baa2     BB              3,222,226
  1,700,000  Chicago, Illinois, Skyway Toll Bridge,
               6.750% due 01/01/17.........................  Baa      BBB-            1,634,125
  2,000,000  East Chicago, Illinois, Industrial Pollution
               Control Revenue, (Inland Steel Company),
               Project 10,
               6.800% due 06/01/13.........................  Ba3      BB-             1,847,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       5
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             ILLINOIS (CONTINUED)
 $1,915,000  Hanover Park, Illinois, First Mortgage,
               (Windsor Project),
               9.250% due 12/01/07.........................  NR       NR          $   1,936,544
  1,750,000  Hennepin, Illinois, Industrial Development
               Revenue,
               10.250% due 01/01/05 (in default)...........  NR       NR                157,500
  1,500,000  Illinois Housing Development Authority, Series
               5,
               6.650% due 09/01/14.........................  A1       A+              1,507,500
    795,000  Loves Park, Illinois, First Mortgage Revenue,
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR                827,794
  1,000,000  Sterling, Illinois, First Mortgage Revenue,
               (Hoosier Care Project), Series A,
               9.750% due 08/01/19.........................  NR       NR              1,036,250
             INDIANA--0.8%
  1,500,000  Sullivan, Indiana, Pollution Control Revenue
               Refunding, (Indiana Michigan Power Company),
               5.950% due 05/01/09.........................  Baa2     BBB             1,357,500
             IOWA--0.7%
  1,240,000  Marion, Iowa, Multi-family Housing Revenue,
               9.500% due 07/01/18.........................  NR       NR              1,241,550
             KENTUCKY--2.8%
  1,410,000  Jefferson County, Kentucky, Health Facilities
               Authority,
               10.125% due 05/01/08........................  A1       NR              1,549,238
             Kenton County, Kentucky, Airport Board:
  1,000,000    (Delta Airlines),
               6.750% due 02/01/02.........................  Ba1      BB                971,250
  1,500,000    (Greater Cincinnati Airport Revenue),
               Project A,
               7.500% due 02/01/20.........................  Ba1      BB              1,470,000
  1,000,000  Pendleton County, Kentucky, Multi-Lease
               Revenue, Series A,
               6.500% due 03/01/19.........................  NR       A                 993,750
             LOUISIANA--5.5%
  1,200,000  Lake Charles, Louisiana, (Harbor & Terminal
               Project),
               7.750% due 08/15/22.........................  Baa3     NR              1,240,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       6
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             LOUISIANA (CONTINUED)
             Port New Orleans, Louisiana, Industrial
               Development Revenue:
 $2,000,000    8.250% due 07/01/04.........................  NR       NR          $   2,040,000
  3,000,000    8.500% due 06/01/14.........................  NR       NR              3,060,000
  1,000,000  (Continental Grain Company Project),
               7.500% due 07/01/13.........................  NR       BB-               968,750
  2,400,000  West Feliciana Parish, Louisiana, Pollution
               Control Revenue,
               8.000% due 12/01/24.........................  Baa3     BBB-            2,499,000
             MAINE--1.7%
             Maine State Housing Authority:
             Mortgage Purchases,
    500,000  Series C-2,
               7.000% due 11/15/32.........................  A1       AA-               486,875
  2,500,000  Series D-1,
               8.300% due 11/15/28.........................  A1       AA-             2,537,500
             MARYLAND--2.0%
  3,000,000  Maryland State Health & Higher Education
               Facilities Authority, (Doctors Community
               Hospital Project),
               8.750% due 07/01/22 (prerefunded
               07/01/00)...................................  Aaa      NR              3,498,750
             MASSACHUSETTS--5.8%
  1,980,000  Commonwealth of Massachusetts Health &
               Educational Facilities Authority Revenue,
               (North Adams State College),
               9.625% due 07/01/18.........................  NR       NR              1,999,800
             Commonwealth of Massachusetts Industrial
               Finance Agency:
  1,700,000    Series A, (S.E. Mass Project),
               9.000% due 07/01/15.........................  NR       NR              1,859,375
  5,940,000    Series B, (S.E. Mass Project),
               9.250% due 07/01/15.........................  NR       NR              6,526,575
             MICHIGAN--2.4%
  1,855,000  Greater Detroit, Michigan, Recreation
               Authority, Series C,
               9.250% due 12/13/08.........................  NR       BBB-            1,938,475
    755,000  Greater Detroit, Michigan, Resource Recovery
               Authority Revenue, Series B,
               9.250% due 12/13/08.........................  NR       BBB-              788,975
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       7
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             MICHIGAN (CONTINUED)
 $1,500,000  Western Townships, Michigan, Utility Revenue,
               Sewage System,
               8.300% due 01/01/19.........................  NR       BBB+        $   1,545,000
             MINNESOTA--1.1%
  2,000,000  Minnesota Housing Finance Authority,
               6.700% due 01/01/18.........................  Aa       AA+             2,007,500
             MISSISSIPPI--3.4%
  3,300,000  Claiborne County, Mississippi, Pollution
               Control Revenue, Series C,
               9.875% due 12/01/14.........................  NR       NR              3,724,875
  2,000,000  Mississippi Hospital Equipment & Facilities
               Authority, (Methodist Hospital),
               9.375% due 05/01/12.........................  NR       NR              2,277,500
             NEW HAMPSHIRE--2.2%
             New Hampshire State Industrial Development
               Authority, (United Illuminating Company):
  1,000,000    Series A,
               9.375% due 07/01/12.........................  Baa3     BBB-            1,081,250
  2,500,000    Series B,
               10.750% due 10/01/12........................  Ba1      BBB-            2,837,500
             NEW JERSEY--3.1%
  1,300,000  New Jersey Educational Facilities, Series C,
               6.625% due 07/01/23.........................  NR       NR              1,088,750
  1,000,000  New Jersey Health Care Facilities:
               7.250% due 07/01/27.........................  NR       NR                897,500
  1,685,000  Finance Authority Revenue:
               7.600% due 07/01/21.........................  Ba       NR              1,579,687
  1,500,000  (Zurbrugg Memorial Hospital), Series C,
               8.500% due 07/01/12.........................  Baa      BBB-            1,550,625
    310,000  New Jersey Housing and Mortgage Finance
               Agency, Home Buyer Revenue, Series E, (MBIA
               Insured),
               7.650% due 10/01/16.........................  Aaa      AAA               324,338
             NEW MEXICO--1.0%
  1,665,000  New Mexico Mortgage Finance Authority, Single
               Family Mortgage Program, Series B,
               8.300% due 03/01/20.........................  NR       AA              1,739,925
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       8
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             NEW YORK--5.3%
 $1,680,000  Babylon, New York, Industrial Development
               Agency, (Recycling Project), Series A,
               8.875% due 03/01/11 (in default)............  NR       NR          $     672,000
  2,055,000  New York City Industrial Development Agency,
               Civic Facility Revenues, (International
               Center for Integrated Studies--Door
               Project),
               9.000% due 03/01/09 (in default)............  NR       NR                411,000
  1,400,000  New York City, New York, Battery Park
               Authority Revenue,
               5.800% due 11/01/2022.......................  A        A               1,221,500
             New York City, New York, Certificates of
               Participation:
    875,000    Series C,
               7.750% due 09/01/05.........................  Baa1     A-                904,531
  2,000,000    Series E,
               6.000% due 05/15/15.........................  Baa1     A-              1,720,000
  1,000,000    Series H,
               7.000% due 02/01/21.........................  Baa1     A-                973,750
  2,000,000    Sub-Series H-1,
               6.125% due 08/01/10.........................  Baa1     A-              1,787,500
  1,950,000  New York State, Energy, Research & Development
               Authority, Electric Facility Revenue,
               7.150% due 12/01/20.........................  Ba1      BB+             1,798,875
             NORTH CAROLINA--2.3%
  1,750,000  Martin County, North Carolina, Industrial
               Facilities Pollution Control,
               6.800 due 05/01/24..........................  A2       A               1,741,250
  2,300,000  North Carolina, Eastern Municipal Power
               Agency, Power Systems Revenue,
               7.000% due 01/01/08.........................  A        A-              2,340,250
             OHIO--2.7%
  1,000,000  Cleveland, Ohio, Airport Special Revenue,
               (Continental Airlines Inc.),
               9.000% due 12/01/19.........................  NR       NR              1,017,500
  1,000,000  Cuyahoga County, Ohio, Health Care Facilities,
               Judson Retirement Community,
               8.875% due 11/15/19.........................  NR       NR              1,060,000
  1,500,000  Montgomery County, Ohio, Health Systems
               Revenue, Series B,
               8.100% due 07/01/18.........................  Baa      BBB-            1,537,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       9
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             OHIO (CONTINUED)
 $  105,000  Ohio Housing Finance Agency, Single Family
               Mortgage Revenue,
               11.375% due 08/01/14........................  Aa       A           $     108,544
  1,000,000  Ohio Water Development Authority, Pollution
               Control Revenue, Series A,
               8.100% due 10/01/23.........................  Baa3     BB+             1,035,000
             PENNSYLVANIA--10.4%
  2,200,000  Allegheny County, Pennsylvania, Industrial
               Development Authority, Special Facilities
               Revenue, Series B, (U.S. Air Project),
               8.500% due 03/01/21.........................  B2       B+              1,930,500
  1,500,000  Delaware County Pennsylvania, Industrial
               Development Authority, First Mortgage,
               (White Horse),
               9.700% due 07/01/09.........................  NR       NR              1,545,000
  3,000,000  Lebanon County, Pennsylvania, (Samaritan
               Hospital), Series B,
               8.250% due 11/01/18.........................  NR       BBB+            3,382,500
  2,500,000  Luzerne County, Pennsylvania, Industrial
               Development Authority,
               7.125% due 12/01/22.........................  Baa3     BBB-            2,418,750
  2,000,000  Montgomery County, Pennsylvania, Higher
               Education & Health Authority,
               8.375% due 11/01/11.........................  Ba1      NR              2,042,500
    625,000  Northumberland County, Pennsylvania,
               Industrial Development Authority Revenue,
               6.875% due 02/01/03.........................  NR       NR                593,750
  1,500,000  Pennsylvania Housing Finance Authority, Series
               C,
               6.900% due 04/01/25.........................  Aa       AA              1,503,750
  1,985,000  Philadelphia, Pennsylvania, Gas Revenue,
               Series B,
               6.400% due 11/15/16.........................  Ba       BB              1,744,319
    960,000  Schuylkill County, Pennsylvania, Industrial
               Development Revenue,
               6.500% due 01/01/10.........................  NR       NR                858,000
  1,500,000  Scranton-Lackawanna, Pennsylvania, Health &
               Welfare Authority, (Mercy Health Systems),
               Series B,
               8.500% due 07/01/20.........................  NR       BB+             1,535,625
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       10
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             PENNSYLVANIA (CONTINUED)
 $1,250,000  Sharon, Pennsylvania, Regional Health Systems,
               (Project B),
               6.875% due 12/01/22.........................  NR       BBB+        $   1,168,750
             SOUTH CAROLINA--0.5%
    940,000  McCormick County, South Carolina, Certificates
               of Participation,
               9.750% due 07/01/09.........................  NR       NR                957,625
             SOUTH DAKOTA--2.3%
             Oglala Sioux Tribe, South Dakota, Pine Ridge
               County, Revenue Bonds:
    290,000    7.000% due 07/01/99.........................  NR       NR                286,737
  1,865,000    7.500% due 07/01/13.........................  NR       NR              1,811,381
  1,875,000    10.000% due 07/01/13........................  Aaa      NR              1,973,268
             TENNESSEE--0.4%
    750,000  SCA Tax Exempt Trust Mortgage Revenue,
               7.125% due 01/01/30.........................  Aaa      AAA               755,625
             TEXAS--12.4%
    600,000  Angelina County, Texas, Jail Facilities
               Financing Corporation, (Criminal Detention
               Center), Mortgage Revenue Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  6,000
  1,000,000  Bell County, Texas, Health Facilities
               Development Corporation, (Living Tech, Inc.
               Project), Series A,
               10.500% due 06/15/18........................  NR       NR                920,000
             Brazos River, Texas, Pollution Control
               Revenue, (Collateral-Tax, Project A):
  1,000,000    9.875% due 10/01/17.........................  Baa2     BBB             1,095,000
  2,000,000    8.250% due 01/01/19.........................  Baa2     BBB             2,130,000
  1,500,000  Dallas-Fort Worth, Texas, International
               Airport Facilities,
               7.500% due 11/01/25.........................  Baa2     BB+             1,477,500
  1,470,000  El Paso, Texas, Housing Finance Corporation,
               Single Family Mortgage Revenue,
               8.750% due 10/01/11.........................  A        NR              1,593,112
  2,000,000  El Paso, Texas, International Airport Revenue
               Bonds,
               7.750% due 03/01/12.........................  B2       B               1,947,500
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       11
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             TEXAS (CONTINUED)
 $1,215,612  Harris County, Texas, Industrial Development
               Corporation,
               7.950% due 07/01/19.........................  NR       NR          $   1,115,323
    840,000  La Salle County, Texas, Jail Facilities
               Financing Corporation, (Criminal Detention
               Center), Revenue Mortgage Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  8,400
  1,400,000  Matagorda County, Texas, Navigation District
               No. 1, Pollution Control Revenue, (Houston
               Lighting & Power Company Project), Series A,
               7.875% due 02/01/19.........................  A3       A               1,482,250
  1,400,000  North Central, Texas, Health Facilities
               Development Project, (Hospital-Baylor Health
               Care Systems, Project A),
               6.400% due 05/15/08.........................  Aa       AA              1,400,000
             Northgate Crossing, Texas, Municipal Utilities
               District:
  1,000,000    Series 1,
               8.875% due 12/01/13.........................  NR       NR                985,000
  1,000,000    Series 2,
               8.875% due 12/01/13.........................  NR       NR                985,000
    570,000  Pecos County, Texas, Jail Facilities Financing
               Corporation, (Criminal Detention Center),
               Mortgage Revenue Bonds,
               9.750% due 08/01/09 (in default)............  NR       NR                  5,700
             Port Corpus Christi, Texas, Industrial
               Development Corporation Revenue, (Valero
               Refinancing and Marketing Company):
  2,500,000    Series A,
               10.250% due 06/01/17........................  Baa3     BBB-            2,759,375
  2,000,000    Series B,
               10.625% due 06/01/08........................  Baa3     BBB-            2,222,500
  2,000,000  San Saba County, Texas, Certificates of
               Obligation,
               8.625% due 02/15/19.........................  NR       NR              2,000,000
             UTAH--1.1%
  1,780,000  Hurricane, Utah, Health Services Project,
               10.500% due 07/01/20........................  NR       NR              1,920,175
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       12
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                            Portfolio of Investments (continued)
 
                                                    January 31, 1995 (unaudited)
O
 
------------
 
<TABLE>
<CAPTION>
                                                                   RATINGS
                                                             -------------------     MARKET
    FACE                                                              STANDARD &      VALUE
   VALUE                                                     MOODY'S    POOR'S      (NOTE 1)
 ----------                                                  -------  ----------  -------------
 MUNICIPAL BONDS AND NOTES (CONTINUED)
 <C>         <S>                                             <C>      <C>         <C>
             VERMONT--1.4%
 $2,365,000  Vermont Housing Finance Agency, Home Mortgage,
               Series B,
               8.100% due 06/01/22.........................  A1       NR          $   2,456,644
             VIRGINIA--1.2%
  2,000,000  Hopwell, Virginia, Industrial Development
               Resource Authority,
               8.250% due 06/01/16.........................  NR       NR              2,077,500
             WEST VIRGINIA--1.3%
  2,500,000  Marion County, West Virginia, County
               Commission,
               7.750% due 12/01/11.........................  NR       NR              2,278,125
             PUERTO RICO--0.1%
    200,000  Commonwealth of Puerto Rico, General
               Obligatiion Bonds,
               8.000% due 07/01/08.........................  Baa1     A                 217,250
                                                                                  -------------
</TABLE>
 
<TABLE>
  <S>                                                                     <C>      <C>
  TOTAL INVESTMENTS (Cost $179,300,317*)................................   99.0%   $176,276,025
  OTHER ASSETS AND LIABILITIES (Net)....................................    1.0       1,727,829
                                                                          ------     ----------
  NET ASSETS............................................................  100.0%   $178,003,854
                                                                          ------     ----------
                                                                          ----       ----------
<FN>
---------------
* Aggregate cost for Federal tax purposes.
</TABLE>
 
<TABLE>
<CAPTION>
         SUMMARY OF MUNICIPAL BONDS
            BY COMBINED RATINGS
              JANUARY 31, 1995
                      STANDARD &   PERCENT
 MOODY'S      OR        POOR'S     OF VALUE
---------             ----------  ----------
<S>        <C>        <C>         <C>
  Aaa                   AAA             2.6%
  Aa                    AA              5.9
  A                     A              11.6
  Baa                   BBB            31.8
  Ba                    BB              7.9
  B                     B               3.5
  NR                    NR             36.7
                                        ---
                                        100%
                                        ---
                                        ---
</TABLE>
 
                     See Notes to Portfolio of Investments.
                                       13
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                   Notes to Portfolio of Investments (unaudited)
 
O
 
------------
 
1.  SIGNIFICANT ACCOUNTING POLICIES
 
    Municipal  High Income Fund Inc. (the "Fund") was organized as a corporation
under the laws of the State of Maryland on March 4, 1988 and is registered  with
the  Securities and Exchange Commission  as a diversified, closed-end management
investment company under  the Investment Company  Act of 1940,  as amended.  The
policies  described below are followed consistently by the Fund in the valuation
of its portfolio.
 
    PORTFOLIO VALUATION: Investments are valued by The Boston Company  Advisors,
Inc.  ("Boston Advisors") after consultation with an independent pricing service
(the "Service") approved by the Fund's Board of Directors. When, in the judgment
of the Service, quoted bid prices for investments are readily available and  are
representative  of the bid side  of the market, these  investments are valued at
the mean between the quoted bid prices and asked prices. Investments for  which,
in  the judgment  of the  Service, no  readily obtainable  market quotations are
available are carried  at fair  value as  determined by  the Service  or by  the
Fund's  Board  of  Directors. The  Service  may use  electronic  data processing
techniques  and/  or  a  matrix  system  to  determine  valuations.   Short-term
investments that mature in fewer than 60 days are valued at amortized cost.
 
                        QUARTERLY RESULTS OF OPERATIONS
 
<TABLE>
<CAPTION>
                                                                                        NET INCREASE/
                                                                    NET REALIZED          (DECREASE)
                                                    NET            AND UNREALIZED       IN NET ASSETS
                             INVESTMENT         INVESTMENT          GAIN/(LOSS)         RESULTING FROM
                               INCOME             INCOME           ON INVESTMENTS         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      .03   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.......   3,592,468   0.18   3,185,620   0.16   (3,081,865)   (0.16)    103,756    0.01
</TABLE>
 
                                       14
<PAGE>
                                                 MUNICIPAL HIGH INCOME FUND INC.
                                                          Management of the Fund
O
 
------------
 
DIRECTORS
 
Charles F. Barber
Allan J. Bloostein
Martin Brody
Dwight B. Crane
Robert A. Frankel
Heath B. McLendon
 
OFFICERS
 
Heath B. McLendon
CHAIRMAN OF THE BOARD
 
Jessica M. Bibliowicz
PRESIDENT
 
Lawrence T. McDermott
VICE PRESIDENT AND
INVESTMENT OFFICER
 
Karen Mahoney-Malcolmson
INVESTMENT OFFICER
 
Michael J. Maher
INVESTMENT OFFICER
 
Lewis E. Daidone
SENIOR VICE PRESIDENT
AND TREASURER
 
Christina T. Sydor
SECRETARY
 
INVESTMENT ADVISER AND ADMINISTRATOR
 
Smith Barney Mutual Funds
  Management Inc.
388 Greenwich Street
New York, New York 10013
 
AUDITORS AND COUNSEL
 
KPMG Peat Marwick LLP
345 Park Avenue
New York, New York 10154
 
Willkie Farr & Gallagher
153 East 53rd Street
New York, New York 10022
 
TRANSFER AGENT
 
The Shareholder Services Group, Inc.
Exchange Place
Boston, Massachusetts 02109
 
CUSTODIAN
 
Boston Safe Deposit and
  Trust Company
One Boston Place
Boston, Massachusetts 02108
 
                                       15
<PAGE>
                                       O
 
This  report is sent to shareholders of  the 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, NY 10013
                                 (212) 723-9218



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