September 1, 2004

Securities and Exchange Commission

Judiciary Plaza

450 Fifth Street, N.W.

Washington, D.C. 20549

Attention: Filings – Rule 497(j)

Re: Dreyfus Premier Municipal Bond Fund

   1933 Act No.: 33-7496

   1940 Act No.: 811-4764

   CIK No.:0000797923

Dear Sir/Ma'am:

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. 28 to the Registration Statement, electronically filed with the Securities and Exchange Commission on August 20, 2004.

Please address any comments or questions to the undersigned at (212) 922-6785.

Very truly yours,

/s/ Gina M. Gomes

Gina M. Gomes

Paralegal

GMG/