DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 2000-03-21
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                                                         March 22, 2000

                   DREYFUS PREMIER STATE MUNICIPAL BOND FUND
               SUPPLEMENT TO STATEMENT OF ADDITIONAL INFORMATION
                            DATED SEPTEMBER 1, 1999


1. THE FOLLOWING INFORMATION REPLACES ALL CONTRARY INFORMATION CONTAINED IN
THE SECTIONS OF THE STATEMENT OF ADDITIONAL  INFORMATION ENTITLED DESCRIPTION OF
THE FUNDS, MANAGEMENT OF THE FUNDS AND MANAGEMENT ARRANGEMENTS:

     Effective  March 22, 2000,  Dreyfus  Service  Corporation  (DSC) became the
distributor to each Fund. DSC is located at 200 Park Avenue, New York, NY 10166.

2.    THE FOLLOWING INFORMATION REPLACES THE INFORMATION CONTAINED IN THE
SECTION OF THE STATEMENT OF ADDITIONAL INFORMATION ENTITLED MANAGEMENT OF
THE FUNDS - OFFICERS OF THE FUND:

 STEPHEN E. CANTER,  PRESIDENT.  President,  Chief Operating Officer,  and Chief
     Investment  Officer of the  Manager,  and an  officer  of other  investment
     companies  advised and  administered  by the Manager.  Mr. Canter also is a
     Director  or  an  Executive   Committee  Member  of  the  other  investment
     management  subsidiaries of Mellon Financial Corporation,  each of which is
     an affiliate of the Manager. He is 54 years old.

 MARK. JACOBS,  VICE PRESIDENT.  Vice President,  Secretary and General Counsel
     of the Manager,  and an officer of other investment  companies  advised and
     administered by the Manager. He is 53 years old.

 JOSEPH  CONNOLLY,  VICE  PRESIDENT  AND  TREASURER.   Director  -  Mutual  Fund
     Accounting  of the Manager,  and an officer of other  investment  companies
     advised and administered by the Manager. He is 42 years old.

 STEVEN F. NEWMAN, ASSISTANT SECRETARY.  Associate General Counsel and Assistant
     Secretary  of the  Manager,  and an officer of other  investment  companies
     advised and administered by the Manager. He is 50 years old.

 JANETTE  FARRAGHER,  ASSISTANT  SECRETARY.  Assistant  General  Counsel  of the
     Manager,   and  an  officer  of  other  investment  companies  advised  and
     administered by the Manager. He is 37 years old.

 MICHAEL A. ROSENBERG,  ASSISTANT  SECRETARY.  Associate  General Counsel of the
     Manager,   and  an  officer  of  other  investment  companies  advised  and
     administered by the Manager. He is 40 years old.

 GREGORY S. GRUBER,  ASSISTANT TREASURER.  Senior Accounting Manager - Municipal
     Bond Funds of hte  Manager,  and an officer of other  investment  companies
     advised and administered by the Manager. He is 40 years old.

     The address of each Fund officer is 200 Park Avenue, New York, NY 10166.

3.   The following  information  supplements the information contained in the
section of the SAI entitled "Management Arrangements - Distributor":

     Disclosure  of the  amounts  retained by "the  distributor"  on the sale of
shares of the Fund refers to amounts  retained by Premier  Mutual Fund Services,
Inc. ("Premier"), the Fund's distributor prior to March 22, 2000. No information
is  provided  for  Dreyfus  SErvice  Corporation,  as  it  was  not  hte  Fund's
distributor as of the Fund's last fiscal year end.

4.   The  clause  "Pursuant  to an  agreement  with the  Distributor"  hereby is
deleted in the  following  sections  of the SAI;  (i) the last  sentence  of hte
second  paragraph of the s ection of hte SAI entitled "How to Buy Shares - Class
A Shares",  and (ii) the first  sentence  of the  section  entitled  "How to Buy
Shares - Class B and C Shares".




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