DREYFUS PREMIER STATE MUNICIPAL BOND FUND, 497J, 1998-09-02

DREYFUS PREMIER STATE MUNICIPAL BOND FUND
497J, 1998-09-02

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                                        September 2, 1998



Securities and Exchange Commission
Judiciary Plaza
450 Fifth Street, N.W.
Washington, D.C. 20549


Attention:     Filing - Rule 497(j)

     RE:  Dreyfus Premier State Municipal Bond Fund
          Registration Statement File No. 33-10238
          CIK No. 806176


Gentlemen:

     Pursuant to Rule 497(j) under the Securities Act of 1933, this is to
certify that the form of Prospectus and Statement of Additional Information
that would have been filed under paragraph (b) or (c) of this section does
not differ from that contained in the most recent amendment, Post-Effective
Amendment No. 30 to the Registration Statement, electronically filed with
the Securities and Exchange Commission on August 28, 1998.

                                        Very truly yours,





                                        James Bitetto

JB

cc:  Ernst & Young LLP
     Strook & Stroock & Lavan LLP