Exhibit 3.1

                      RESTATED ARTICLES OF INCORPORATION
                                      OF
                              GREATER BAY BANCORP


     David L. Kalkbrenner and Linda M. Iannone hereby certify that:

     1.   They are the duly elected and acting President and Secretary,
respectively, of GREATER BAY BANCORP, a California corporation (the
"Corporation" or the "Company").

     2.   The Articles of Incorporation, as amended, of this corporation are
hereby restated to read as follows:

                                   I.  NAME

     The name of the Corporation is GREATER BAY BANCORP (the "Corporation" or
the "Company").

                                 II.  PURPOSE

     The purpose of the corporation is to engage in any lawful act or activity
for which a corporation may be organized under the General Corporation Law of
California other than the banking business, the trust company business, or the
practice of a profession permitted to be incorporated by the California
Corporations Code.

                            III.  AUTHORIZED STOCK


     (a)  This corporation is authorized to issue only two classes of shares
designated "Preferred Stock" and "Common Stock," respectively.  The number of
shares of Preferred Stock authorized to be issued is 4,000,000 and the number of
shares of Common Stock authorized to be issued is 80,000,000.

     (b)  The Preferred Stock may be divided into such number of series as the
board of directors may determine. The board of directors is authorized to
determine and alter the rights, preferences, privileges and restrictions granted
to or imposed upon any wholly unissued series of Preferred Stock, and to fix the
number of shares of any series of Preferred Stock and the designation of any
such series of Preferred Stock. The board of directors, within the limits and
restrictions stated in any resolution or resolutions of the board of directors
originally fixing the number of shares constituting any series, may increase or
decrease (but not below the number of shares of such series then outstanding)
the number of shares of any series subsequent to the issue of shares of that
series.

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                     ARTICLE IV. SERIES A PREFERRED STOCK

          The rights, preferences, privileges, and restrictions, designation and
number of shares of the Series A Preferred Stock are as follows:

          Section 1.     Designation and Amount.  The shares of such series
                         ----------------------
shall be designated as "Series A Preferred Stock" (the "Series A Preferred
Stock") and the number of shares constituting the Series A Preferred Stock shall
be 1,200,000 shares.  Such number of shares may be increased or decreased by
resolution of the Board of Directors; provided, that no decrease shall reduce
the number of shares of Series A Preferred Stock to a number less than the
number of shares then outstanding plus the number of shares reserved for
issuance upon the exercise of outstanding options, rights or warrants or upon
the conversion of any outstanding securities issued by the Corporation
convertible into Series A Preferred Stock.

          Section 2.     Dividends and Distributions.
                         ---------------------------

          (A)  Subject to the rights of the holders of any shares of any series
of Preferred Stock (or any similar stock) ranking prior and superior to the
Series A Preferred Stock with respect to dividends, the holders of shares of
Series A Preferred Stock, in preference to the holders of Common Stock, no par
value (the "Common Stock"), of the Corporation, and of any other junior stock,
shall be entitled to receive, when, as and if declared by the Board of Directors
out of funds legally available for the purpose, quarterly dividends payable in
cash on the last day of March, June, September and December in each year (each
such date being referred to herein as a "Quarterly Dividend Payment Date"),
commencing on the first Quarterly Dividend Payment Date after the first issuance
of a share or fraction of a share of Series A Preferred Stock, in an amount per
share (rounded to the nearest cent) equal to the greater of (a) $.095 or (b)
subject to the provision for adjustment hereinafter set forth, the aggregate per
share amount of all cash dividends, and the aggregate per share amount (payable
in kind) of all non-cash dividends or other distributions, other than a dividend
payable in shares of Common Stock or a subdivision of the outstanding shares of
Common Stock (by reclassification or otherwise), declared on the Common Stock
since the immediately preceding Quarterly Dividend Payment Date or, with respect
to the first Quarterly Dividend Payment Date, since the first issuance of any
share or fraction of a share of Series A Preferred Stock. In the event the
Corporation shall at any time declare or pay any dividend on the Common Stock
payable in shares of Common Stock, or effect a subdivision or combination or
consolidation of the outstanding shares of Common Stock (by reclassification or
otherwise than by payment of a dividend in shares of Common Stock) into a
greater or lesser number of shares of Common Stock, then in each such case the
amount to which holders of shares of Series A Preferred Stock were entitled
immediately prior to such event under clause (b) of the preceding sentence shall
be adjusted by multiplying such amount by a fraction, the numerator of which is
the number of shares of Common Stock outstanding immediately after such event
and the denominator of which is the number of shares of Common Stock that were
outstanding immediately prior to such event.

          (B)  The Corporation shall declare a dividend or distribution on the
Series A Preferred Stock as provided in paragraph (A) of this Section
immediately after it declares a dividend or distribution on the Common Stock
(other than a dividend payable in shares of Common Stock); provided that, in the
event no dividend or distribution shall have been declared

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on the Common Stock during the period between any Quarterly Dividend Payment
Date and the next subsequent Quarterly Dividend Payment Date, a dividend of
$.095 per share on the Series A Preferred Stock shall nevertheless be payable on
such subsequent Quarterly Dividend Payment Date.

          (C)  Dividends shall begin to accrue and be cumulative on outstanding
shares of Series A Preferred Stock from the Quarterly Dividend Payment Date next
preceding the date of issue of such shares, unless the date of issue of such
shares is prior to the record date for the first Quarterly Dividend Payment
Date, in which case dividends on such shares shall begin to accrue from the date
of issue of such shares, or unless the date of issue is a Quarterly Dividend
Payment Date or is a date after the record date for the determination of holders
of shares of Series A Preferred Stock entitled to receive a quarterly dividend
and before such Quarterly Dividend Payment Date, in either of which events such
dividends shall begin to accrue and be cumulative from such Quarterly Dividend
Payment Date. Accrued but unpaid dividends shall not bear interest. Dividends
paid on the shares of Series A Preferred Stock in an amount less than the total
amount of such dividends at the time accrued and payable on such shares shall be
allocated pro rata on a share-by-share basis among all such shares at the time
outstanding. The Board of Directors may fix a record date for the determination
of holders of shares of Series A Preferred Stock entitled to receive payment of
a dividend or distribution declared thereon, which record date shall be not less
than 10 nor more than 60 days prior to the date fixed for the payment thereof.

          Section 3.     Voting Rights.  The holders of shares of Series A
                         -------------
Preferred Stock shall have the following voting rights:

          (A)  Each share of Series A Preferred Stock shall entitle the holder
thereof to one vote on all matters submitted to a vote of the shareholders of
the Corporation.

          (B)  Except as otherwise provided herein, in any other Certificate of
Determination creating a series of Preferred Stock or any similar stock, or by
law, the holders of shares of Series A Preferred Stock and the holders of shares
of Common Stock and any other capital stock of the Corporation having general
voting rights shall vote together as one class on all matters submitted to a
vote of shareholders of the Corporation.

          Section 4.     Certain Restrictions.
                         --------------------

          (A)  Whenever quarterly dividends or other dividends or distributions
payable on the Series A Preferred Stock as provided in Section 2 are in arrears,
thereafter and until all accrued and unpaid dividends and distributions, whether
or not declared, on shares of Series A Preferred Stock outstanding shall have
been paid in full, the Corporation shall not:

               (i)   declare or pay dividends, or make any other distributions,
     on any shares of stock ranking junior (either as to dividends or upon
     liquidation, dissolution or winding up) to the Series A Preferred Stock;

               (ii) declare or pay dividends, or make any other distributions,
     on any shares of stock ranking on a parity (either as to dividends or upon
     liquidation dissolution or winding up) with the Series A Preferred Stock,
     except dividends

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     paid ratably on the Series A Preferred Stock and all such parity stock on
     which dividends are payable or in arrears in proportion to the total
     amounts to which the holders of all such shares are then entitled;

               (iii)  redeem or purchase or otherwise acquire for consideration
     shares of any stock ranking junior (either as to dividends or upon
     liquidation, dissolution or winding up) to the Series A Preferred Stock,
     provided that the Corporation may at any time redeem, purchase or otherwise
     acquire shares of any such junior stock in exchange for shares of any stock
     of the Corporation ranking Junior (either as to dividends or upon
     dissolution, liquidation or winding up) to the Series A Preferred Stock; or

               (iv)   redeem or purchase or otherwise acquire for consideration
     any shares of Series A Preferred Stock, or any shares of stock ranking on a
     parity with the Series A Preferred Stock, except in accordance with a
     purchase offer made in writing or by publication (as determined by the
     Board of Directors) to all holders of such shares upon such terms as the
     Board of Directors, after consideration of the respective annual dividend
     rates and other relative rights and preferences of the respective series
     and classes, shall determine in good faith will result in fair and
     equitable treatment among the respective series or classes.

     (B)  The Corporation shall not permit any subsidiary of the
Corporation to purchase or otherwise acquire for consideration any shares of
stock of the Corporation unless the Corporation could, under paragraph (A) of
this Section 4, purchase or otherwise acquire such shares at such time and in
such manner.

          Section 5.     Reacquired Shares.  Any shares of Series A Preferred
                         -----------------
Stock purchased or otherwise acquired by the Corporation in any manner
whatsoever shall be retired and cancelled promptly after the acquisition
thereof.  All such shares shall upon their cancellation become authorized but
unissued shares of Preferred Stock and may be reissued as part of a new series
of Preferred Stock subject to the conditions and restrictions on issuance set
forth herein, in the Articles of Incorporation, or in any other Certificate of
Determination creating a series of Preferred Stock or any similar stock or as
otherwise required by law.

          Section 6.     Liquidation, Dissolution or Winding Up.  Upon any
                         --------------------------------------
liquidation, dissolution or winding up of the Corporation, no distribution shall
be made (1) to the holders of shares of stock ranking junior (either as to
dividends or upon liquidation, dissolution or winding up) to the Series A
Preferred Stock unless, prior thereto, the holders of shares of Series A
Preferred Stock shall have received an amount per share equal to $100.00, plus
an amount equal to accrued and unpaid dividends and distributions thereon,
whether or not declared, to the date of such payment, provided that the holders
of shares of Series A Preferred Stock shall be entitled to receive an aggregate
amount per share, subject to the provision for adjustment hereinafter set forth,
equal to the aggregate amount to be distributed per share to holders of shares
of Common Stock, or (2) to the holders of shares of stock ranking on a parity
(either as to dividends or upon liquidation, dissolution or winding up) with the
Series A Preferred Stock, except distributions made ratably on the Series A
Preferred Stock and all such parity stock in proportion to the total amounts to
which the holders of all such shares are entitled upon such liquidation,
dissolution or

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winding up. In the event the Corporation shall at any time declare or pay any
dividend on the Common Stock payable in shares of Common Stock, or effect a
subdivision or combination or consolidation of the outstanding shares of Common
Stock (by reclassification or otherwise than by payment of a dividend in shares
of Common Stock) into a greater or lesser number of shares of Common Stock, then
in each such case the aggregate amount to which holders of shares of Series A
Preferred Stock were entitled immediately prior to such event under the proviso
in clause (1) of the preceding sentence shall be adjusted by multiplying such
amount by a fraction of the numerator of which is the number of shares of Common
Stock outstanding immediately after such event and the denominator of which is
the number of shares of Common Stock that were outstanding immediately prior to
such event.

          Section 7.     Consolidation, Merger, etc.  In case the Corporation
                         ---------------------------
shall enter into any consolidation, merger, combination or other transaction in
which the shares of Common Stock are exchanged for or changed into other stock
or securities, cash and/or any other property, then in any such case each share
of Series A Preferred Stock shall at the same time be similarly exchanged or
changed into an amount per share, subject to the provision for adjustment
hereinafter set forth, equal to the aggregate amount of stock, securities, cash
and/or any other property (payable in kind), as the case may be, into which or
for which each share of Common Stock is changed or exchanged.  In the event the
Corporation shall at any time declare or pay any dividend on the Common Stock
payable in shares of Common Stock, or effect a subdivision or combination or
consolidation of the outstanding shares of Common Stock (by reclassification or
otherwise than by payment of a dividend in shares of Common Stock) into a
greater or lesser number of shares of Common Stock, then in each such case the
amount set forth in the preceding sentence with respect to the exchange or
change of shares of Series A Preferred Stock shall be adjusted by multiplying
such amount by a fraction, the numerator of which is the number of shares of
Common Stock outstanding immediately after such event and the denominator of
which is the number of shares of Common Stock that were outstanding immediately
prior to such event.

          Section 8.     Redemption.  The shares of Series A Preferred Stock
                         ----------
shall not be redeemable.

          Section 9.     Rank.  The Series A Preferred Stock shall rank, with
                         ----
respect to the payment of dividends and the distribution of assets, junior to
all other series of the Corporation's Preferred Stock, unless the terms of any
such series shall provide otherwise.

          Section 10.    Amendment.  The Articles of Incorporation (including
                         ---------
any Certificate of Determination issued under the authority of said Articles) of
the Corporation shall not be amended in any manner which would materially alter
or change the powers, preferences or special rights of the Series A Preferred
Stock so as to affect them adversely without the affirmative vote of the holders
of at least two-thirds of the outstanding shares of Series A Preferred Stock,
voting together as a single series.

                  V. SUPER-MAJORITY VOTING BY DIRECTORS

     The vote of not less than two-thirds of all members of the board of
directors shall be required to approve any of the following types of matters
affecting the corporation:

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          (a)  Any merger, sale of control or sale of material assets of the
corporation.

          (b)  Any material acquisition by the corporation.

          (c)  The creation of any new business unit of the corporation or any
subsidiary of the corporation.

          (d)  Any operating budget, or any material change therein, of the
corporation or any subsidiary of the corporation.

          (e)  Any material change in the business organization or
organizational structure of the corporation or any subsidiary of the
corporation.

          (f)  Termination of the employment of any executive or senior officer
appointed to the Executive Management Committee of the corporation.

          (g)  Any change in the authorized range of the number of directors of
the corporation.

         VI. DIRECTOR LIABILITY; INDEMNIFICATION OF AGENTS

          (a)  Limitation of Directors' Liability.  The liability of the
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directors of the corporation for monetary damages shall be eliminated to the
fullest extent permissible under California law.

          (b)  Indemnification of Corporate Agents.  The indemnification of an
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agent [as defined in California Corporations Code section 317(a)] of this
corporation, whether by bylaws, agreement or otherwise, for breach of duty to
this corporation and its stockholders, may, to the extent not prohibited under
California Corporations Code sections 317 and 204(a), exceed the indemnification
otherwise permitted by section 317 of the Corporations Code.

                   VII. ELIMINATION OF CUMULATIVE VOTING

     No holder of any class of stock of the corporation shall be entitled to
cumulate votes at any election of directors of the corporation.

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     3.   The foregoing restatement of the Articles of Incorporation (the
"Restatement") has been duly approved by the Board of Directors of the
Corporation.

     4.   Shareholder approval of the Restatement is not required pursuant to
Section 910(b) of the California General Corporation Law.

     5.   The Corporation is a listed company as defined in Section 301.5(d) of
the California General Corporation Law because its securities are listed on the
Nasdaq National Market System.

     We further declare under penalty of perjury under the laws of the State of
California that the matters set forth in this certificate are true and correct
of our own knowledge.

     Executed at Palo Alto, California this 30th day of January, 2001.



                                            /s/ David L. Kalkbrenner
                                            ------------------------
                                            David L. Kalkbrenner, President


                                            /s/ Linda M. Iannone
                                            --------------------
                                            Linda M. Iannone, Secretary

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