Supplement, dated May 13, 1998, to the prospectus, dated March 1, 1998,
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 Management."
Marion S. Schultheis, who joined the Manager as Managing Director in
May 1998, is Portfolio Manager of the Global Growth Opportunies Fund. Ms.
Schultheis is also Portfolio Manager of Seligman Capital Fund, Inc., Seligman
Growth Fund, Inc. and the Seligman Capital Portfolio and the Seligman
Henderson Global Growth Opportunities Portfolio of Seligman Portfolios, Inc.
From October 1997 until May 1998, she was a Managing Director at Chancellor
LGT. Prior thereto, Ms. Schultheis was a Senior Portfolio Manager at IDS
Advisory Group Inc. from August 1987 until October 1997.
EQSHGS2-5/98
