DREYFUS PREMIER CALIFORNIA MUNICIPAL BOND FUND
497, 2000-06-01
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                                                                    June 1, 2000

                 DREYFUS PREMIER CALIFORNIA MUNICIPAL BOND FUND

                            SUPPLEMENT TO PROSPECTUS

                               DATED JUNE 1, 2000

      THE FOLLOWING INFORMATION SUPPLEMENTS THE INFORMATION CONTAINED IN THE
SECTION OF THE FUND'S PROSPECTUS ENTITLED "YOUR INVESTMENT -- SERVICES FOR FUND
INVESTORS."

Class B Shares -- Dreyfus Automatic Withdrawal Plan

      For any Fund account opened on or after July 24, 2000, or any existing
Fund account to which the Dreyfus Automatic Withdrawal Plan ("AWP") is added on
or after July 24, 2000, there will be no CDSC on Class B shares redeemed
pursuant to an AWP withdrawal, as long as the amount of the withdrawal does not
exceed an annual rate of 12% of the greater of the account value at the time of
the first withdrawal under the AWP, or the account value at the time of the
subsequent withdrawal.

      023s0600


                                                                    June 1, 2000





                DREYFUS PREMIER CALIFORNIA MUNICIPAL BOND FUND


              Supplement to Statement of Additional Information
                               Dated June 1, 2000


      The following information supplements the information contained in the
section of the Fund's Statement of Additional Information entitled "Shareholder
Services - Automatic Withdrawal Plan."

      Class B Shares - Dreyfus Automatic Withdrawal Plan

      For any Fund account opened on or after July 24, 2000, or any existing
Fund account to which the Dreyfus Withdrawal Plan ("AWP") is added on or after
July 24, 2000, there will be no CDSC on Class B shares redeemed pursuant to an
AWP withdrawal, as long as the amount of the withdrawal does not exceed an
annual rate of 12% of the greater of the account value at the time of the first
withdrawal under the AWP, or the account value at the time of the subsequent
withdrawal. Withdrawals with respect to Class B shares under the AWP that exceed
such amounts will be subject to a CDSC.




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