DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497, 2000-03-10
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                                                      March 16, 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  ("SAI")  entitled
"Description  of the Fund and Series",  "Management of the Fund" and "Management
Arrangements":

     Effective March 16, 2000,  Dreyfus Service  Corporation  ("DSC") became the
distributor to the 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 ("SAI") entitled "Management
of the Fund - 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 N. Jacobs, Vice President. Vice President, General Counsel and Secretary to
     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,  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. She 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 the  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 16, 2000. No information
is  provided  for  Dreyfus  Service  Corporation,  as  it  was  not  the  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 the
second  paragraph of the section of the 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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