SELIGMAN HENDERSON GLOBAL FUND SERIES INC
497, 2000-08-11
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                    Supplement, dated August 11, 2000, to the
            Statement of Additional Information, dated March 1, 2000,
               of Seligman Global Fund Series, Inc. (the "Series")
                                on behalf of its
                       Seligman International Growth Fund
                         Seligman Emerging Markets Fund
                           Seligman Global Growth Fund
                     Seligman Global Smaller Companies Fund
                         Seligman Global Technology Fund
                           (collectively, the "Funds")

     Effective August 11, 2000, the following  disclosure  replaces the last two
full paragraphs in the discussion of  "Calculation of Performance  Data" on page
41 of the Series' Statement of Additional Information:

Page 41

From time to time, reference may be made in advertisements,  sales literature or
other promotional material (collectively, "Promotional Material") to performance
information,  including mutual fund rankings  prepared by independent  reporting
services  which  monitor the  performance  of mutual  funds,  including  but not
limited to Lipper Analytical Services, Inc. and Morningstar, Inc. In calculating
the total  return of each Fund's  Class A, Class B, Class C, and Class D shares,
the Lipper analysis assumes investment of all dividends and distributions  paid,
but does not take into account applicable sales charges.  Morningstar's rankings
are calculated  using a fund's average annual returns for a certain period and a
risk factor that reflects a fund's performance  relative to three-month Treasury
Bill monthly returns.  Morningstar's  ratings range from five stars (highest) to
one star (lowest) and represent Morningstar's  assessment of the historical risk
level and total  return of a fund for 3-, 5-, and  10-year  periods  and,  on an
overall  basis,  based on  weighted-average  of those  periods.  Ratings are not
absolute and do not represent future performance results.

Each Fund's Promotional  Material may disclose (i) the top ten holdings included
in the Fund's  portfolio  holdings,  (ii) market  sectors and  statistical  data
describing  portfolio  composition,  (iii)  discussions  of general  economic or
financial   principals,   (iv)  discussions  of  general  economic  trends,  (v)
descriptions  of  investment  strategies  for each  Fund  (vi)  descriptions  or
comparisons of various savings and investment products,  which may not include a
Fund and (vii)  comparisons  of  investment  products  (including  a Fund)  with
relevant  market or industry  indices or appropriate  benchmarks.  Each Fund may
also include  calculations,  such as hypothetical  compounding  examples,  which
describe  hypothetical  investment  results.  Such performance  examples will be
based on an express  set of  assumptions  and are not  indicative  of the future
performance of the Fund.

From time to time, each Fund's Promotional  Materials may portray the historical
returns of various asset classes.  Such presentations will typically compare the
average  annual  rates of return  of  inflation,  U.S.  Treasury  bills,  bonds,
large-cap stocks, and small-cap stocks. There are important  differences between
each of  these  investments  that  should  be  considered  in  viewing  any such
comparison.  The market value of stocks will fluctuate  with market  conditions,
and small-stock  prices generally will fluctuate more than  large-stock  prices.
Stocks are generally  more volatile than bonds.  In return for this  volatility,
stocks have generally performed better than bonds or cash over time. Bond prices
generally  will  fluctuate  inversely  with  interest  rates  and  other  market
conditions,  and the  prices of bonds  with  longer  maturities  generally  will
fluctuate more than those of  shorter-maturity  bonds.  Interest rates for bonds
may be fixed at the time of issuance,  and payment of principal and interest may
be  guaranteed  by the issuer  and,  in the case of U.S.  Treasury  obligations,
backed by the full faith and credit of the U.S. Treasury.

Each Fund may also refer in Promotional  Material to selections  from editorials
or articles about the Fund, including reprints of comments, listings and columns
in the  financial  and other  press,  the  sources  of which  include  BARRON'S,
BUSINESS  WEEK,  CDA/WIESENBERGER  MUTUAL  FUNDS  INVESTMENT  REPORT,  CHRISTIAN
SCIENCE MONITOR,  FINANCIAL PLANNING,  FINANCIAL TIMES, FINANCIAL WORLD, FORBES,
FORTUNE,  INDIVIDUAL  INVESTOR,  INVESTMENT  ADVISOR,  INVESTORS BUSINESS DAILY,
KIPLINGER'S, LOS ANGELES TIMES, MONEY MAGAZINE,  MORNINGSTAR,  INC., PENSION AND
INVESTMENTS,  SMART  MONEY,  THE NEW YORK TIMES,  THE WALL STREET  JOURNAL,  USA
TODAY,  U.S. NEWS AND WORLD REPORT,  WORTH  MAGAZINE,  WASHINGTON  POST and YOUR
MONEY.

Each  Fund's  Promotional  Material  may  make  reference  to a  Fund's  "Beta,"
"Standard  Deviation,"  or "Alpha." Beta  measures the  volatility of a Fund, as
compared to that of the overall market.  Standard  Deviation measures how widely
the  Fund's  performance  has varied  from its  average  performance,  and is an
indicator of the Fund's potential for volatility.  Alpha measures the difference
between  the  returns of a Fund and the  returns  of the  market,  adjusted  for
volatility.

EQSHG1As-8/00

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