DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 2000-04-27
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                                                                 April 27, 2000

           DREYFUS PREMIER STATE MUNICIPAL BOND FUND GEORGIA SERIES

                           SUPPLEMENT TO PROSPECTUS

                            DATED SEPTEMBER 1, 1999

At a meeting held on April 12, 2000, the Board of Trustees of Dreyfus Premier
State  Municipal  Bond  Fund  (the  "Trust" ), on  behalf of its Georgia Series,
approved,   subject   to   shareholder   approval,  an  Agreement  and  Plan  of
Reorganization  (the  "Plan" ) with  Dreyfus  Premier  Municipal  Bond Fund (the
" Acquiring  Fund" ), providing  for  the transfer of all of the Georgia Series'
assets,  subject  to  its  liabilities, in a tax free exchange for shares of the
Acquiring  Fund  (the  "Exchange" ). The  Acquiring  Fund  shares  would then be
distributed  to  Georgia  Series  shareholders  so  that  each shareholder would
receive  for his or her Class A, Class B or Class C Georgia Series shares, Class
A,  Class  B  or  Class  C  shares  of  the Acquiring Fund equal in value to the
shareholder' s  Georgia  Series  shares as of the date of the Exchange. No sales
charges will be imposed at the time of the Exchange.

   The  Acquiring  Fund  also  is  advised  by  The  Dreyfus Corporation and has
substantially  similar  investment  objectives  and  management  policies as the
Georgia  Series,  except  that the Acquiring Fund invests primarily in municipal
bonds  that  provide  income exempt from Federal income tax, whereas the Georgia
Series invests primarily in municipal bonds that also provide income exempt from
Georgia    State    income    tax    for    Georgia    residents.

   Shareholders  of  the  Georgia  Series  who do not wish to participate in the
Exchange  may redeem their shares prior to the Exchange. Any contingent deferred
sales  charge  applicable  upon redemption of such shares will be waived and any
sales  load  deducted at the time of purchase of such shares on or after January
1,  1999  will be reimbursed to such shareholders by The Dreyfus Corporation, if
such shares are redeemed between June 1, 2000 and the date of the Exchange.

   A  special  meeting  of  shareholders  of  the Georgia Series to consider the
Exchange  is  scheduled to be held on Tuesday, July 25, 2000. A Prospectus/Proxy
Statement  with  respect to the proposed Exchange will be mailed to shareholders
prior  to  the  meeting. The Prospectus/Proxy Statement will include information
about the Exchange, the Georgia Series and Acquiring Fund.

   If you have any questions, please contact your Service Agent.

                                                                     PSTMBs0400




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