SELIGMAN HENDERSON GLOBAL FUND SERIES INC
497, 1998-04-02
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  Supplement, dated April 2, 1998, to the prospectus, dated March 1, 1998
                                    of
         Seligman Henderson Global Fund Series, Inc. (the "Fund")


      The following  supersedes the related  information  set forth in the
Fund's prospectus.
 
      On March 30, 1998,  AMP Limited,  an Australian  life  insurance and
financial  services  company,  acquired  control of Henderson plc pursuant
to a cash offer.  Henderson  plc is the indirect  owner of 50% of Seligman
Henderson   Co.,  the  Subadviser  to  the  Fund.  As  a  result  of  this
acquisition,  the subadvisory  agreements between the Manager and Seligman
Henderson  Co.   relating  to  the  Fund   terminated   automatically   in
accordance  with  their  terms.   Pursuant  to  an  order  issued  by  the
Securities  and Exchange  Commission,  and with the approval of the Fund's
Board  of  Directors,   the  Manager  has  entered  into  new  subadvisory
agreements  with  Seligman  Henderson  Co. with  respect to the Fund.  The
new subadvisory  advisory  agreements are identical in all respects to the
previous   agreements  except  for  their   commencement  and  termination
dates.  A meeting of  shareholders  of the Fund is  expected to be held on
June 30, 1998 to vote on the new subadvisory agreements.



EQSHGS1-4/98





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