DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 1999-08-10
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                                                                August 10, 1999

                   DREYFUS PREMIER STATE MUNICIPAL BOND FUND

                           SUPPLEMENT TO PROSPECTUS

                             DATED AUGUST 28, 1998

   As  of  the  date  of  this supplement, Stephen C. Kris no longer serves as a
portfolio  manager of the Florida Series and Georgia Series of the Fund. Douglas
J.  Gaylor  is  hereby appointed primary portfolio manager of the Florida Series
and A. Paul Disdier is hereby appointed primary portfolio manager of the Georgia
Series.

   The  second  paragraph under the heading "Management of the Fund - Investment
Adviser" should be replaced with the following:

   The  Dreyfus  Corporation supervises and assists in the overall management of
the  Fund' s  affairs under a Management Agreement with the Fund, subject to the
authority  of the Fund's Board in accordance with Massachusetts law. The primary
portfolio  manager  for each of the Connecticut and Virginia Series is Samuel J.
Weinstock,  who  has  held  that  position since August 1987 with respect to the
Connecticut  Series and August 1991 with respect to the Virginia Series, and has
been employed by The Dreyfus Corporation since March 1987. The primary portfolio
manager for each of the Florida Series, Maryland Series, Pennsylvania Series and
Texas  Series is Douglas J. Gaylor, who has held that position since August 1999
with  respect  to the Florida Series and since January 1996 with respect to each
of  the  Maryland  Series,  Pennsylvania  Series  and Texas Series, and has been
employed  at  The  Dreyfus  Corporation since January 1996. Prior to joining The
Dreyfus  Corporation,  Mr.  Gaylor was a Municipal Portfolio Manager at PNC Bank
since September 1993. The primary portfolio manager for the Georgia Series is A.
Paul  Disdier,  who  has  held that position since August 1999, and who has been
employed  by  the Dreyfus Corporation since February 1988. The primary portfolio
manager  for  each  of the Massachusetts, Michigan, Minnesota, New Jersey, North
Carolina  and  Ohio Series is W. Michael Petty, who has held that position since
August  1997  and  has been employed by The Dreyfus Corporation since June 1997.
Prior  to  joining  The  Dreyfus Corporation, Mr. Petty was Vice President and a
portfolio  manager  of  municipal  bond funds at Merrill Lynch Asset Management,
Inc.  since  1992.  The  Fund' s  other portfolio managers are identified in the
Statement  of  Additional  Information.  The  Dreyfus  Corporation also provides
research  services  for  the  Fund  and  for  other  funds  it advises through a
professional   staff   of   portfolio   managers   and   securities   analysts.

                                                                     PSTMBs0899

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