Supplement, dated January 21, 1998, to the prospectus, dated March 1,
1997,
of
Seligman Henderson Global Fund Series, Inc. (the "Fund")
Effective immediately, the following supersedes and replaces the
contrary information contained in the Fund's prospectus under
"Management Services--Portfolio Managers."
Richard R. Schmaltz, who joined the Manager as Managing Director,
Director of Investments in September 1996, is primarily responsible for
directing and overseeing the domestic investments of the Global Growth
Opportunities Fund as a member of the Seligman Growth Team. From May
1993 to September 1996, Mr. Schmaltz was Director, Investment Research
at Neuberger and Berman. Prior thereto, Mr. Schmaltz was Executive Vice
President of McGlinn Capital.
Mr. Schmaltz is also responsible for directing and overseeing the
domestic investments of the Seligman Henderson Global Growth
Opportunities Portfolio of Seligman Portfolios, Inc. ("SPI"), and for
the day-to-day management of Seligman Capital Fund, Inc., Seligman
Growth Fund, Inc., and the Seligman Capital Portfolio of SPI.
EQSHG7-1/98