Supplement, dated December 21, 1999, to the
Statement of Additional Information, dated June 1, 1999,
of Seligman High Income Fund Series (the "Fund")
on behalf of its
Seligman U.S. Government Securities Series and
Seligman High-Yield Bond Series
The following new disclosure is added as the last paragraph under "Description
of the Fund and its Investments and Risks -- Fund Policies" on page 6 of
the Fund's Statement of Additional Information:
"Each Series 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."
TX1A - SUPP 12/1999
