SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                    FORM 8-K


                            Current Report Pursuant
                         to Section 13 or 15(d) of the
                        Securities Exchange Act of 1934

        Date of Report (Date of earliest event reported): July 13, 1999


                              Greater Bay Bancorp
             (Exact name of registrant as specified in its charter)



         California                                       77-0387041
(State or other jurisdiction of                        (I.R.S. employer
 incorporation or organization)                      identification number)


                        Commission file number:  0-25034


                            2860 West Bayshore Road
                          Palo Alto, California 94303
             (Address of principal executive offices and zip code)


       Registrant's telephone number, including area code: (650) 813-8200







Item 5.  Other Events.

      Reference is hereby made to the Registrant's press releases attached
hereto as Exhibits 99.1, 99.2 and 99.3 which meet the requirements for filing
under Item 5 and are incorporated herein by reference.

Item 7.  Financial Statements and Exhibits.

Exhibits
- --------

99.1   Press Release dated July 13, 1999.

99.2   Press Release dated July 19, 1999.

99.3   Press Release dated July 26, 1999.

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                                   SIGNATURES

      Pursuant to the requirements of the Securities Exchange Act of 1934, as
amended, the Registrant has duly caused this report to be signed on its
behalf by the undersigned hereunto duly authorized.

                                 Greater Bay Bancorp
                                 (Registrant)



Dated: August 3, 1999               By:    /s/ Linda M. Iannone
                                           --------------------
                                           Linda M. Iannone
                                           Senior Vice President and General
                                           Counsel

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                                 Exhibit Index

99.1               Press Release dated July 13, 1999

99.2               Press Release dated July 19, 1999

99.3               Press Release dated July 26, 1999