GENERAL CALIFORNIA MUNICIPAL BOND FUND INC /NY/
497, 2000-03-09
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                                                                 March 16, 2000

                  GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
                            SUPPLEMENT TO PROSPECTUS

                            DATED FEBRUARY 1, 2000

      Effective  March  16,  2000, Dreyfus Service Corporation became the fund's
distributor,  making  it  entitled to receive all fees payable by the fund under
its Rule 12b-1 Plan if the Plan is implemented.

                                                                     131s0300-2






                                                                  March 16, 2000

                  GENERAL CALIFORNIA MUNICIPAL BOND FUND, INC.
                     SUPPLEMENT TO STATEMENT OF ADDITIONAL INFORMATION
                             DATED FEBRUARY 1, 2000


      The following information replaces all contrary information contained in
the sections of the Statement of Additional Information ("SAI") entitled
"Description of the Fund", "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.

      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.

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.

Janette E.  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.

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.

      The following information supplements and replaces all contrary
information contained in the section of the SAI entitled "Service Plan":

      Coincident with the transfer of distribution responsibilities from Premier
to DSC, the Fund's Board adopted amendments to the Fund's Service Plan, which
has not been implemented, solely to reflect DSC as distributor, and to make
other non-material amendments to update the Plan. There was no change to the
amount that would be payable under the Plan, if it were to be implemented, or to
any other material terms to the Plan. The Amended Plan provides that DSC is
entitled to reimbursement for distributing Fund shares and to receive payments
for advertising and marketing related to Fund shares and for servicing
shareholder accounts.




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