DREYFUS CALIFORNIA INTERMEDIATE MUNICIPAL BOND FUND
497, 1997-05-30
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                                                                  June 1, 1997
              DREYFUS CALIFORNIA INTERMEDIATE MUNICIPAL BOND FUND
                           SUPPLEMENT TO PROSPECTUS
                             DATED AUGUST 1, 1996
        THE FOLLOWING INFORMATION SUPERSEDES ANY CONTRARY INFORMATION
CONTAINED IN THE FUNDS' PROSPECTUS.
        The Telephone Redemption Privilege is granted automatically unless
you specifically refuse it by checking the applicable "No" box on the Account
Application. The Telephone Redemption Privilege may be established for an
existing account by a separate signed Shareholder Services Form or by oral
request from any of the authorized signatories on the account by calling
1-800-645-6561.
        THE FOLLOWING INFORMATION SUPERSEDES THE INFORMATION CONTAINED IN THE
SECTION OF THE FUND'S PROSPECTUS ENTITLED "MANAGEMENT OF THE FUND":
        The Fund's primary portfolio manager is Monica Wieboldt. She has held
that position since October 1, 1996 and has been employed by The Dreyfus
Corporation since 1983.
        THE FOLLOWING INFORMATION SUPPLEMENTS OR REPLACES THE INFORMATION
CONTAINED IN THE FOLLOWING INDICATED SECTIONS OF THE FUND'S PROSPECTUS:
                      ANNUAL FUND OPERATING EXPENSES
SHAREHOLDER TRANSACTION EXPENSES
  Redemption Fee
  (as a percentage of amount redeemed)....            1.00%
        The information contained in the Fund's Annual Operating Expenses and
the Example do not reflect any redemption fee retained by the Fund.
                           HOW TO REDEEM SHARES
        Effective November 4, 1996, the Fund will deduct a redemption fee
equal to 1% of the net asset value of Fund shares redeemed (including
redemptions through the use of the Fund Exchanges service) less than fifteen
days following the issuance of such shares. The fee will be retained

                        (CONTINUED ON REVERSE SIDE)

by the Fund and used primarily to offset the transaction costs that short-term
trading imposes on the Fund and its shareholders. No redemption fee will be
charged upon the redemption of shares through the Fund's Check Redemption
Privilege, Automatic Withdrawal Plan or Dreyfus Auto-Exchange Privilege, or
shares redeemed from omnibus accounts. Furthermore, no redemption fee will be
charged upon the redemption of Fund
shares acquired through reinvestment of dividends or distributions, nor will
the redemption fee be used to pay fees imposed for various Fund services or
shares. The redemption fee may be waived, modified or discontinued at any
time, or from time to time.
                                                                    902s060197



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