DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 1999-12-22
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                                                              December 22, 1999

                   DREYFUS PREMIER STATE MUNICIPAL BOND FUND

                           SUPPLEMENT TO PROSPECTUS

                            DATED SEPTEMBER 1, 1999

      Effective  December  31,  1999,  the following information supplements and
supersedes  any  contrary  information  contained  in the sections of the Fund's
Prospectus  entitled "Your Investment - Account Policies" and "Your Investment -
Services for Fund Investors."

      Right  of Accumulation: lets you add the value of any shares in this fund,
any  other  Dreyfus  Premier fund, or any other fund that is advised by Founders
Asset  Management  LLC  ("Founders"), an affiliate of Dreyfus, sold with a sales
load  (that  you  already own) to the amount of your next Class A investment for
purposes of calculating the sales charge.

      Dreyfus  Dividend  Sweep:  for automatically reinvesting the dividends and
distributions   from   the   fund   into   another   Dreyfus   fund  or  certain
Founders-advised funds (not available for IRAs).

      Dreyfus  Auto-Exchange  Privilege:  for  making regular exchanges from the
fund into another Dreyfus fund or certain Founders-advised funds.

      Exchange  Privilege:  you  can exchange shares worth $500 or more from one
class  of  a  series  into  the  same  class  of another Dreyfus Premier fund or
Founders-advised fund.

                                                                     PSTMBs1299




                                             December 22, 1999


                  Dreyfus Premier State Municipal Bond Fund
              Supplement to Statement of Additional Information
                           Dated September 1, 1999


         Effective December 31, 1999, the following information supersedes  and
replaces the first sentence of the first paragraph contained in the section  of
the  Fund's  Statement of Additional Information entitled "How to Buy  Shares--
Right of Accumulation - Class A Shares."

Reduced sales loads apply to any purchase of Class A shares, shares of  other
funds  in  the  Dreyfus Premier Family of Funds which are sold with  a  sales
load,  shares of certain other funds advised by the Manager or Founders Asset
Management LLC ("Founders"), an affiliate of the Manager, which are sold with
a  sales  load  and  shares acquired by a previous exchange  of  such  shares
(hereinafter  referred  to  as "Eligible Funds"),  by  you  and  any  related
"purchaser" as defined above, where the aggregate investment, including  such
purchase, is $50,000 or more.

        Effective December 31, 1999, the following information supersedes and
replaces  the first sentence of the first paragraph contained in the  section
of  the  Fund's  Statement  of Additional Information  entitled  "Shareholder
Services -- Fund Exchanges."

        Clients of certain Service Agents may purchase, in exchange for Class
A, Class B or Class C shares of a Series, shares of the same Class of another
fund  in  the  Dreyfus Premier Family of Funds, shares of the same  Class  of
certain  funds advised by Founders, or shares of certain other funds  in  the
Dreyfus  Family of Funds, to the extent such shares are offered for  sale  in
your state of residence.

        Effective December 31, 1999, the following information supersedes and
replaces  the first sentence of the first paragraph contained in the  section
of  the  Fund's  Statement  of Additional Information  entitled  "Shareholder
Services -- Dreyfus Auto-Exchange Privilege."

     Dreyfus  Auto-Exchange Privilege permits you to  purchase  (on  a  semi-
monthly, monthly, quarterly or annual basis), in exchange for Class A,  Class
B  or Class C shares of a Series, shares of the same Class of another fund in
the  Dreyfus  Premier Family of Funds, shares of the same  Class  of  certain
funds  advised by Founders, or shares of certain other funds in  the  Dreyfus
Family of Funds, of which you are a shareholder.

        Effective December 31, 1999, the following information supersedes and
replaces  the first sentence of the first paragraph contained in the  section
of  the  Fund's  Statement  of Additional Information  entitled  "Shareholder
Services - Dreyfus Dividend Options."

         Dreyfus  Dividend  Sweep  allows you to  invest  automatically  your
dividends or dividends and capital gain distributions, if any, from the  Fund
in  shares of the same Class of another fund in the Dreyfus Premier Family of
Funds,  shares  of the same Class of certain funds advised  by  Founders,  or
shares  of  certain other funds in the Dreyfus Family of Funds, of which  you
are a shareholder.





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