Michael K. Devlin                             Immediately
               Senior Vice President
               (617) 629-4244

                 CENTRAL BANCORP REPORTS RESULTS FOR ITS FOURTH
                  QUARTER AND FISCAL YEAR ENDED MARCH 31, 2004

     SOMERVILLE,  MASSACHUSETTS, April 30, 2004-- Central Bancorp, Inc. (NASDAQ:
CEBK) today reported net income of $243,000, or $0.15 per diluted share, for the
quarter ended March 31, 2004,  compared to a net loss of $418,000,  or $0.27 per
diluted share, for the corresponding quarter in the prior fiscal year. A primary
reason for the loss in the prior year  quarter  was the  reserve  for  estimated
state taxes of $835,000,  net of federal tax benefits,  attributable to a change
in state law affecting numerous  Massachusetts banks,  disallowing the deduction
for dividends received by Central  Co-operative Bank from its former real estate
investment  trust (REIT)  subsidiary for the 2000 through 2003 fiscal years.  In
addition,  the  prior  year's  quarterly  results  reflected  an  accrual  for a
commercial  claim and legal fees  associated  with a  shareholder  dispute that,
together,  reduced earnings by $915,000.  Exclusive of the foregoing significant
items,  pro forma earnings were $1,332,000 for the quarter ended March 31, 2003.
The decline in earnings in the current quarter,  as compared to the prior year's
quarterly pro forma  results,  is  principally  due to decreases in net interest
income  ($682,000)  and gains on sale of loans  ($736,000)  and an  increase  in
marketing spending ($267,000).
     For the year ended March 31, 2004, net income  amounted to  $2,936,000,  or
$1.88 per diluted share, compared to $2,187,000,  or $1.37 per diluted share, in
the  prior  year.  The  results  in both  years  were  affected  by  significant
non-operating items. As noted in the preceding paragraph, the results for fiscal
2003 were  adversely  impacted  by  certain  significant  items,  which,  in the
aggregate,  reduced  net income by  $1,915,000.The  results in fiscal  2004 were
favorably affected by the June 2003 settlement of the Company's REIT-related tax
liability and  insurance  recoveries,  which,  in the  aggregate,  increased net
income by $703,000.  Exclusive of these  significant  items,  pro forma earnings
were  $2,233,000  and  $4,102,000  for the years  ended March 31, 2004 and 2003,
respectively.  The decline in pro forma  earnings of  $1,869,000  in the current
year is principally  due to decreases in net interest  income  ($1,687,000)  and
gains on sale of loans ($501,000) and increases in marketing spending ($381,000)
and salaries and employee benefits ($325,000).
     The gradual but consistent  decline in interest rates in recent years had a
greater relative impact on the Company's yield on earning assets, which declined
64 basis points in fiscal  2004,  than on its cost of funds,  which  declined 32
basis points in fiscal 2004, due to the Company's limited  opportunity to reduce
deposit rates and the fixed cost of its FHLB advances.  In addition,  as part of
its strategy to manage interest rate risk, the Company held a greater portion of
its interest-earning  assets in short-term investments and investment

                                  (Continued)

Central Bancorp, Inc.
Page 2 of 3


securities  throughout  fiscal 2004 rather than in long-term,  fixed rate loans.
This strategy  adversely  affected net interest income in the current year while
improving the Company's exposure to a sustained rise in interest rates.
     John D. Doherty,  Chairman,  President & Chief Executive  Officer,  stated,
"While I am disappointed by the compression in our net interest margin in fiscal
2004, we believe the decision to reduce our investment in long-term,  fixed rate
residential  mortgage  loans,  which  was a major  cause of this  decline,  is a
prudent one,  particularly in light of the recent indications of a change in the
direction of interest  rates.  During the quarter ended March 31, 2004,  the net
interest margin was 3.30% compared to 3.14% in the previous quarter."
     Mr. Doherty added, "We have recently  initiated a major marketing  program,
including our  first-ever use of radio  advertisements,  to promote the Bank and
its new free  checking  product.  We have made a  significant  commitment to the
increased promotion of the Bank to highlight the benefits of doing business with
a community bank and to maintain our competitiveness in the attractive Middlesex
County market.  We are encouraged by the number of new account  openings  during
the past month."
     Loan  quality  continues  to  be  outstanding.  At  March  31,  2004,  loan
delinquencies  were  minimal  and there  were no loans in excess of 90 days past
due. In addition, the Company held no foreclosed assets at March 31, 2004.
     Central Bancorp,  Inc. is the holding company for Central Bank, whose legal
name is Central Co-operative Bank, a  Massachusetts-chartered  co-operative bank
operating eight full-service banking offices and one limited-service high school
branch in suburban Boston.

                           (See accompanying tables.)


- --------------------------------------------------------------------------------
This press release contains  financial  information  determined by methods other
than in accordance  with  accounting  methods  generally  accepted in the United
States of  America  ("GAAP").  The  Company's  management  uses  these  non-GAAP
measures in its analysis of the Company's performance.  These measures typically
adjust GAAP performance  measures to exclude the effects of significant gains or
losses that are unusual in nature.  Because  these items and their impact on the
Company's  performance  are  difficult  to  predict,  management  believes  that
presentations of financial  measures excluding the impact of these items provide
useful supplemental  information that is essential to a proper  understanding of
the operating results of the Company's business. These disclosures should not be
viewed as a substitute for operating results determined in accordance with GAAP,
nor are  they  necessarily  comparable  to  non-GAAP  performance  which  may be
presented by other companies.

     This press release may contain certain  forward-looking  statements,  which
are based on management's current expectations  regarding economic,  legislative
and regulatory issues that may impact the Company's  earnings in future periods.
Factors  that  could  cause  future  results  to vary  materially  from  current
management  expectations  include,  but are not  limited  to,  general  economic
conditions,  changes in interest  rates,  deposit flows,  real estate values and
competition;  changes in accounting principles,  policies or guidelines; changes
in legislation or regulation;  and other  economic,  competitive,  governmental,
regulatory  and  technological   factors  affecting  the  Company's  operations,
pricing, products and services.
- --------------------------------------------------------------------------------

Central Bancorp, Inc.
Page 3 of  3

                              Central Bancorp, Inc.
                           Consolidated Operating Data
                      (In Thousands, Except Per Share Data)



                                                                              Quarter Ended                     Year Ended
                                                                                  March 31,                       March 31,
                                                                        -----------------------------------------------------------
                                                                          2004                2003           2004            2003
                                                                        -----------------------------------------------------------
                                                                                                                  
                                                                                (Unaudited)
           Net interest and dividend income                             $3,827              $ 4,509        $15,570        $ 17,257

           Provision for loan losses                                        50                   --            200             --
           Net loss on sales and write-downs
             of investment securities                                       --                 (112)          (135)          (308)
           Gain on sale of loans                                            32                  768            295            796
           Other non-interest income                                       210                  162            966            917

           Non-interest expenses                                         3,625                4,654         12,401         13,877
                                                                        ------              -------        -------        -------

             Income before taxes                                           394                  673          4,095          4,785

           Provision for income taxes                                      151                1,091          1,159          2,598
                                                                        ------              -------        -------        -------

             Net income (loss)                                          $  243              $  (418)       $ 2,936        $ 2,187
                                                                        ======              =======        =======        =======

           Earnings (loss) per share:

             Basic                                                      $  .16              $ (0.27)       $  1.89        $  1.38
                                                                        ======              =======        =======        =======

             Diluted                                                    $  .15              $ (0.27)       $  1.88        $  1.37
                                                                        ======              =======        =======        =======

           Weighted average number of
             shares outstanding:
             Basic                                                       1,556                1,567          1,551          1,584
                                                                        ======              =======        =======        =======

             Diluted                                                     1,570                1,567          1,565          1,599
                                                                        ======              =======        =======        =======


           Reconciliation of GAAP earnings
            to pro forma earnings:
           Net income (loss) per GAAP                                    $ 243              $  (418)       $ 2,936        $ 2,187
           Impact of REIT legislation, net of taxes                         --                  835           (374)           835
           Impact of litigation and legal fees,
             net of insurance and taxes                                     --                  915           (329)         1,080
                                                                         -----              -------        -------        -------

             Pro forma earnings                                          $ 243              $ 1,332        $ 2,233        $ 4,102
                                                                        ======              =======        =======        =======



                                                                      Consolidated Balance Sheet Data
                                                                            (In Thousands)
                                                                       March 31,          March 31,
                                                                         2004               2003
                                                                     --------------------------------
                                                                                          
           Total assets                                              $ 490,465            $ 477,208
           Investment securities available for sale                     83,771               61,111
           Total loans (1)                                             357,424              390,464
           Allowance for loan losses                                     3,537                3,284
           Deposits                                                    295,920              287,959
           Borrowings                                                  145,256              144,576
           Stockholders' equity                                         43,454               39,443

           (1) Includes loans held for sale of $799 and $647 at March 31, 2004
                and March 31, 2003, respectively.