SELIGMAN HENDERSON GLOBAL FUND SERIES INC
497J, 1997-03-03
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                          J. & W. Seligman & Co.
                                  Incorporated




                                          March 3, 1997






Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, NW
Washington, DC  20549


Re:   Seligman Henderson Global Fund Series, Inc.
      File Nos. 33-44186 and 811-6485

Dear Sir or Madam:

      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. 23 to the Fund's  Registration  Statement on Form
N-1A  filed  electronically  with the  Securities  and  Exchange  Commission  on
February 27, 1997.

      If you have any  questions,  please  do not  hesitate  to call me at (212)
850-1426.

                                          Very truly yours,

                                          /s/Maureen A. Coleman

                                          Maureen A. Coleman
                                          Assistant Vice President,
                                          Law & Regulation




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





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