Supplement, dated December 21, 1999, to the
Statement of Additional Information, dated June 1, 1999,
of Seligman Henderson Global Fund Series, Inc.
on behalf of its
Seligman Henderson International Fund (the "Funds")
Seligman Henderson Emerging Markets Growth Fund
Seligman Henderson Global Growth Opportunities Fund
Seligman Henderson Global Smaller Companies Fund
Seligman Henderson Global Technology Fund
The following new disclosure is added as the last paragraph under "Description
of the Funds and Their Investments and Risks -- Fund Policies" on page 9 of
Seligman Henderson Global Fund Series, Inc.'s Statement of Additional
Information:
"Each Fund also may not acquire any securities of a registered open-end
investment company or a registered unit investment trust in reliance on
subparagraph (F) or subparagraph (G) of Section 12(d)(1) of the Investment
Company Act of 1940, as amended (1940 Act). This policy is not fundamental."
EQSHG1A - SUPP 12/1999