SELIGMAN HENDERSON GLOBAL FUND SERIES INC
497J, 2000-02-28
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                             J. & W. Seligman & Co.
                                  Incorporated


                                               February 28, 2000


Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, DC  20549

Re:      Seligman Global Fund Series, Inc. (the "Fund")
         Post-Effective Amendment No. 29
         File Nos. 33-44186 and 811-6485

Dear Ladies and Gentlemen:

Pursuant to Rule 497(j) under the  Securities Act of 1933, I hereby certify that
the  Prospectus  and  Statement of Additional  Information  that would have been
filed   pursuant  to  Rule  497(c)  does  not  differ  from  that  contained  in
Post-Effective  Amendment  No. 29 to the Fund's  Registration  Statement on Form
N-1A  filed  electronically  with the  Securities  and  Exchange  Commission  on
February 25, 2000.

If you have  any  questions,  please  do not  hesitate  to  contact  me at (212)
850-1375.


                                       Very truly yours,

                                    /s/Jennifer G. Muzzey

                                       Jennifer G. Muzzey
                                       Legal Assistant


JGM:jgm


             100 Park Avenue New York, New York 10017 (212) 850-1864





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