SELIGMAN QUALITY MUNICIPAL FUND INC
N-30B-2, 1999-04-01
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<PAGE>

                                    SELIGMAN
                                -----------------
                                     QUALITY
                                -----------------
                                    MUNICIPAL
                                   FUND, INC.
                                    [graphic]

                              First Quarter Report
                                January 31, 1999
                      

<PAGE>

To the Stockholders
During Seligman Quality  Municipal  Fund's first fiscal quarter,  the US economy
continued to grow at a surprisingly  robust pace.  Despite the ongoing  economic
expansion,  inflation  remains low,  with few signs of upward  price  pressures.
Unemployment  has fallen to levels not seen in nearly  thirty  years,  but wages
have not been forced significantly  higher. As long as this economic equilibrium
continues,  the  Federal  Reserve  Board is  unlikely  to take  action in either
direction and policy should remain on hold for the near future.
   The municipal bond market was stable during this time, especially compared to
the US Treasury market.  Long-term  municipal yields experienced only modest ups
and downs and were nearly the same at the end of the quarter as they had been at
the Fund's  fiscal  year end.  The  stability  can  largely be  attributed  to a
slowdown in new-issue  supply,  which had been at  historically  high levels for
much of last year. In January 1999,  new-issue  supply was 24% lower than it had
been one year earlier.
   Municipal bonds continue to offer attractive  after-tax yield advantages over
US Treasuries.  Last year's high demand for US Treasury  securities caused their
yields to fall much  faster  than those of  municipal  bonds.  At the end of the
Fund's fiscal quarter,  the yield differential between Treasuries and municipals
remained  narrow,  despite the tax advantages of the latter.  Municipals had not
been that attractive relative to Treasuries since 1986, when tax-reform concerns
were widespread.
   Seligman  continues to work to ensure that all of its operations are prepared
for the challenges posed by the Year 2000 (Y2K) computer problem, and we foresee
no  disruption  as a result  of this  issue in the  investment  and  shareholder
services  provided by your Fund. In addition,  your  portfolio  management  team
considers  the  potential  ramifications  of Y2K when making  decisions on which
securities should be held by the Fund.
   Thank you for your  confidence in Seligman  Quality  Municipal  Fund. We look
forward to continuing to serve your  investment  needs.  A discussion  with your
Portfolio Manager and the Fund's portfolio of investments follow this letter.

By order of the Board of Directors,


/s/ William C. Morris
- ------------------------

William C. Morris
Chairman


/s/ Thomas G. Moles

- ------------------------
Thomas G. Moles
President


February 26, 1999


                                       1
<PAGE>

INTERVIEW WITH YOUR PORTFOLIO MANAGER, THOMAS G. MOLES

[photo]
Seligman Municipals Team: (standing, from left) Audrey Kuchtyak, Theresa Barion,
Debra McGuinness, (seated) Eileen Comerford, Thomas G. Moles (Portfolio Manager)

WHAT ECONOMIC AND MARKET FACTORS AFFECTED SELIGMAN QUALITY MUNICIPAL FUND DURING
ITS FIRST FISCAL QUARTER?
   During the  three-month  period ended January 31, 1999,  the  municipal  bond
market  remained  stable.   Long-term  municipal  yields  fluctuated  within  an
extremely narrow range, and ended the fiscal quarter essentially  unchanged from
the Fund's fiscal year-end on October 31, 1998. This stability was primarily the
result of a slowdown in new-issue  supply,  which had been  nearing  record-high
levels for most of 1998. In January 1999, new-issue supply was 24% lower than it
had been one year earlier.
   During the past year and a half of global  financial  turmoil,  demand for US
Treasury bonds grew as investors  viewed these securities as a safe haven during
periods of instability and uncertainty.  This "flight to quality" created a high
level of  volatility in the US Treasury  market and pushed  Treasury bond yields
lower. Municipal bond yields also declined during that period, but were outpaced
by the faster decline in Treasury yields.  At one point during 1998,  yields for
long-term  Treasuries were actually lower than yields for long-term  municipals,
despite the latter's tax-exempt status. At the end of the Fund's fiscal quarter,
the yield spread  between  municipal and Treasury  bonds  remained  historically
narrow.  Municipals  had not been that  attractive  in  comparison to Treasuries
since 1986, when tax-reform fears drove municipal yields higher.

WHAT WAS YOUR INVESTMENT STRATEGY DURING THE THREE MONTHS UNDER REVIEW?

   During the past fiscal quarter,  we continued to concentrate on improving the
Fund's call protection.  Most of Seligman Quality Municipal Fund's higher-coupon
bonds were purchased  when interest rates were higher than they are today.  Over
the past several years,  these bonds have been  approaching  their optional call
dates.  (A  callable  bond can be  redeemed  by the issuer  prior to maturity on
predetermined  dates and at  specified  prices.)  In a  declining  interest-rate
environment, such as we have been experiencing, bond calls typically increase as
issuers  seek to retire  higher-cost  debt.  We have  attempted  to mitigate the
reinvestment risk these calls pose to the portfolio by proactively selling bonds
that are approaching their call dates, rather than waiting until these bonds are
called and risk having to reinvest the proceeds at even lower yields.
   Providing  Seligman  Quality  Municipal Fund  stockholders  with a consistent
monthly dividend  distribution has always been a primary focus.  However,  since
the Fund's introduction in 1991,  interest rates have declined steadily,  making
it  increasingly  difficult to maintain the Fund's dividend  distribution.  As a
result of bond calls and redemptions,  the Fund's  investment income has fallen,
necessitating  the January 1999 reduction in the Fund's  dividend  distribution.
The steps that we have taken to reduce the Fund's bond call exposure should help
to stabilize its dividend during the fiscal year ahead.

                                       2

<PAGE>


INTERVIEW WITH YOUR PORTFOLIO MANAGER, THOMAS G. MOLES (continued)


DO YOU FORESEE ANY IMPACT ON THE  MUNICIPAL  BOND MARKET AS A RESULT OF THE YEAR
2000 (Y2K) COMPUTER PROBLEM?

   Y2K  is  certainly  a  major  challenge  facing  the  municipal  market,  and
individual  states,  cities,  and  municipalities  vary widely in their  current
capacity  to manage  it.  Throughout  the  coming  year,  we will  consider  the
Y2K-readiness  of an issuer when we  evaluate a security.  Our ability to remain
informed of an issuer's  Y2K status was improved  last year when the  Securities
and   Exchange   Commission    established   disclosure   guidelines   requiring
municipalities to inform investors about material Y2K concerns.

WHAT IS YOUR OUTLOOK?

   Long-term municipal bond yields,  while at their lowest levels in many years,
continue to offer a significant  after-tax  advantage over those of long-term US
Treasuries.  This current yield  advantage,  in addition to the likelihood  that
new-issue  supply will be lower than it was last year,  should  contribute to an
improvement in the performance of municipal bonds relative to Treasury bonds.


                                       3
<PAGE>

Investment Results Per Common Share


TOTAL RETURNS*
FOR PERIODS ENDED JANUARY 31, 1999

                                                        AVERAGE ANNUAL
                                               ---------------------------------
                                                                        SINCE
                                THREE          ONE           FIVE      INCEPTION
                                MONTHS         YEAR          YEARS     11/29/91
                                -------        ------       -------     --------
         Market Price**         (10.15)%       (6.84)%        4.65%       6.17%
         Net Asset Value**        1.57          6.61          6.45        8.89


PRICE PER SHARE
                               JANUARY 31,     OCTOBER 31,
                                  1999            1998
                              ------------    ------------
         Market Price            $13.50         $15.5625
         Net Asset Value          15.17          15.47


DIVIDEND AND CAPITAL GAIN INFORMATION
FOR THE THREE MONTHS ENDED JANUARY 31, 1999

                                                       Capital Gain
                                           -----------------------------------
                        Dividends Paid+       Paid       Realized    Unrealized
                       --------------        -------     --------    ----------
                           $0.2145           $0.314       $0.033       $1.793++

ANNUAL DISTRIBUTION RATE
The annual  distribution rate based on current market price at January 31, 1999,
was 5.89%,  which is equivalent to a taxable yield of 9.64% based on the maximum
federal tax rate of 39.6%.


- --------------------------------------------------------------------------------
The rates of return  will vary and the  principal  value of an  investment  will
fluctuate.  Shares, if sold, may be worth more or less than their original cost.
Past performance is not indicative of future investment results.

  *Returns for periods of less than one year are not annualized.

 **These rates of return reflect  changes in market price or net asset value, as
   applicable,  and assume that all distributions within the period are invested
   in additional shares.

  +Preferred Stockholders were paid dividends at annual rates ranging from 3.00%
   to 4.85%.  Earnings on the Fund's assets in excess of the preferred  dividend
   requirements  constituted dividend income for Common Stockholders.  A portion
   of dividends paid to Common Stockholders may be taxable as ordinary income.

 ++Represents  the per share amount of net unrealized  appreciation of portfolio
   securities as of January 31, 1999.

                                       4
<PAGE>

Portfolio of Investments (unaudited)                            January 31, 1999

<TABLE>
<CAPTION>
- ------------------------------------------------------------------------------------------------------------------------------------
                             FACE                                                                  RATINGS
STATE                       AMOUNT                   MUNICIPAL BONDS                              MOODY'S/S&P    MARKET VALUE
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                        <C>                      <C>                                           <C>            <C>       

ALASKA-- 1.3%            $   295,000   Alaska Housing Finance Corporation (Collateralized
                                        Mortgage Obligation), 7.05% due 6/1/2025 ...............   Aaa/AAA      $   314,505
                           1,040,000   Alaska Housing Finance Corporation (Collateralized
                                        Veterans' Mortgage Program), 61/2% due 6/1/2034 ........   Aaa/AAA        1,093,986
CALIFORNIA-- 8.0%          5,000,000   San Francisco City and County Airports Commission
                                        Rev. (International Airport), 5.80% due 5/1/2021* ......   Aaa/AAA        5,302,100
                           2,750,000   San Joaquin Hills Transportation Corridor Agency Rev.
                                        (Orange County Senior Lien Toll Road),
                                        63/4% due 1/1/2032 .....................................   Aaa/AAA        3,129,335
COLORADO-- 1.9%            2,000,000   Denver City and County School District #1 GOs,
                                        5% due 12/1/2023 .......................................   Aaa/AAA        2,005,520
GEORGIA-- 3.0%             3,000,000   Atlanta Airport Facilities Rev., 61/4% due 1/1/2021* ....   Aaa/AAA        3,171,150
HAWAII-- 1.8%              1,750,000   Hawaii State Airports System Rev., 7% due 7/1/2020* .....   Aaa/AAA        1,903,913
ILLINOIS-- 4.7%            5,000,000   Illinois Educational Facilities Authority Rev.
                                        (University of Chicago), 51/8% due 7/1/2038 ............   Aa1/AA         4,928,950
KANSAS-- 3.1%              3,000,000   Burlington Pollution Control Rev. (Kansas Gas and
                                        Electric Company Project), 7% due 6/1/2031 .............   Aaa/AAA        3,267,990
LOUISIANA-- 3.3%             935,000   Louisiana Public Facilities Authority Hospital Rev.
                                        (Southern Baptist Hospitals, Inc. Project),
                                        8% due 5/15/2012 .......................................   NR/AAA         1,164,019
                           2,000,000   Louisiana Public Facilities Authority Hospital Rev.
                                        (Our Lady of Lourdes Regional Medical Center
                                        Project), 6.45% due 2/1/2022 ...........................   Aaa/AAA        2,247,120
MASSACHUSETTS -- 7.3%      4,000,000   Massachusetts Health & Educational Facilities
                                        Authority Rev. (New England Medical Center),
                                        65/8% due 7/1/2025 .....................................   Aaa/AAA        4,406,480
                           3,000,000   Massachusetts Housing Finance Agency Rev.
                                        (Residential Development), 67/8% due 11/15/2021 ........   Aaa/AAA        3,262,620
MONTANA-- 5.4%             2,220,000   Forsyth Pollution Control Rev. (Puget Sound
                                        Power & Light Co.), 71/4% due 8/1/2021* ................   Aaa/AAA        2,433,120
                           1,620,000   Montana State Board of Investments Payroll Tax
                                        Rev. (Workers' Compensation Program),
                                        67/8% due 6/1/2020 .....................................   Aaa/AAA        1,773,074
                             845,000   Montana State Board of Investments Payroll Tax
                                        Rev. (Workers' Compensation Program),
                                        67/8% due 6/1/2020 .....................................   Aaa/AAA          924,844
                             535,000   Montana State Board of Investments Payroll Tax
                                        Rev. (Workers' Compensation Program),
                                        67/8% due 6/1/2020 .....................................   Aaa/AAA          585,552
NEW YORK-- 17.0%           3,000,000   Metropolitan Transportation Authority Rev.
                                        (Commuter Facilities), 6.10% due 7/1/2026 ..............   Aaa/AAA        3,485,760
                           2,000,000   Metropolitan Transportation Authority Rev.
                                        (Transit Facilities), 6.10% due 7/1/2026 ...............   Aaa/AAA        2,323,840

</TABLE>
- --------------------------------------------------------------------------------
See footnotes on page 6.


                                       5
<PAGE>
PORTFOLIO OF INVESTMENTS (Unaudited) (Continued)                January 31, 1999

<TABLE>
<CAPTION>
- ------------------------------------------------------------------------------------------------------------------------------------
                             FACE                                                                 RATINGS
STATE                       AMOUNT                   MUNICIPAL BONDS                             MOODY'S/S&P    MARKET VALUE
- ------------------------------------------------------------------------------------------------------------------------------------
<S>                         <C>                      <C>                                         <C>            <C>    

NEW YORK (continued)      $2,600,000   New York City GOs, 61/4% due 4/15/2027 ..................   A3/A-        $ 2,867,020
                              40,000   New York City GOs, 61/4% due 4/15/2027 ..................   A3/A-             46,655
                           3,000,000   New York State Local Government Assistance
                                        Corporation, 7% due 4/1/2021 ...........................   Aaa/AAA        3,287,880
                           5,125,000   New York State Thruway Authority General Rev.,
                                        6% due 1/1/2025 ........................................   Aaa/AAA        5,823,179
PENNSYLVANIA-- 9.8 %       2,500,000   Allegheny County Airport Rev. (Greater Pittsburgh
                                        International Airport), 6.80% due 1/1/2010* ............   Aaa/AAA        2,729,150
                           2,000,000   Allegheny County Airport Rev. (Greater Pittsburgh
                                        International Airport), 65/8% due 1/1/2022* ............   Aaa/AAA        2,174,920
                           5,000,000   Philadelphia Airport Rev., 6.10% due 6/15/2025* .........   Aaa/AAA        5,441,500
SOUTH CAROLINA-- 5.7%      1,000,000   South Carolina Public Service Authority Rev.
                                        (Santee Cooper), 6.10% due 7/1/2027 ....................   Aaa/AAA        1,102,610
                           2,250,000   South Carolina Ports Authority Rev.,
                                        63/4% due 7/1/2021* ....................................   Aaa/AAA        2,435,017
                           2,250,000   South Carolina Ports Authority Rev.,
                                        63/4% due 7/1/2021* ....................................   Aaa/AAA        2,453,648
TEXAS-- 6.9%               5,000,000   Houston Water & Sewer Systems Rev.,
                                        61/8% due 12/1/2015 ....................................   Aaa/AAA        5,703,750
                           1,465,000   Texas State Veterans' Housing Assistance GOs,
                                        6.80% due 12/1/2023* ...................................   Aa2/AA         1,579,680
VIRGINIA-- 6.0%            2,500,000   Pocahontas Parkway Association Toll Road Bonds
                                        (Route 895 Connector), 51/2% due 8/15/2028 .............   Baa3/BBB-      2,499,925
                           3,500,000   Virginia Housing Development Authority (Multi-
                                        Family Housing), 7% due 11/1/2012 ......................   Aa1/AA+        3,826,935
WASHINGTON -- 8.1%         2,000,000   Chelan County Public Utility District No. 001
                                        (Chelan Hydro Consolidated System Rev.),
                                        51/4% due 7/1/2033* ....................................   Aaa/AAA        2,001,620
                             860,000   Douglas County Public Utilities District No. 1
                                        Hydroelectric Rev., 7.80% due 9/1/2018* ................   A/A+             919,572
                           5,000,000   King County Sewer GOs, 61/8% due 1/1/2033 ...............   Aaa/AAA        5,561,300
WISCONSIN-- 4.1%           4,000,000   Wisconsin Housing & Economic Development
                                        Authority Housing Rev., 6.85% due 11/1/2012 ............   Aaa/AAA        4,305,320
                                                                                                               ------------
TOTAL MUNICIPAL BONDS (Cost $94,021,661)-- 97.4% .............................................................  102,483,559
VARIABLE RATE DEMAND NOTES (Cost $1,300,000)-- 1.2% ..........................................................    1,300,000
OTHER ASSETS LESS LIABILITIES-- 1.4% .........................................................................    1,420,168
                                                                                                               ------------
NET INVESTMENT ASSETS-- 100.0% ............................................................................... $105,203,727
                                                                                                               ============
</TABLE>

- -----------------------------------------------------------------------------
*  Interest  income  earned  from  this  security  is  subject  to  the  federal
alternative  minimum tax. Note:  Investments  in municipal  securities and other
short-term  holdings  maturing  in more  than  60 days  are  valued  based  upon
quotations  provided by an independent  pricing service or, in their absence, at
fair value  determined in accordance  with  procedures  approved by the Board of
Directors.  Short-term holdings maturing in 60 days or less are generally valued
at amortized cost.

<PAGE>

                     Seligman Quality Municipal Fund, Inc.
                                   Managed by

                                     [LOGO]
                             J. & W. SELIGMAN & CO.
                                  INCORPORATED
                        Investment Managers and Advisors
                                ESTABLISHED 1864
                       100 Park Avenue, New York, NY 10017
                                                                   CESQF3a 1/99


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