EXHIBIT 32


                               CERTIFICATION UNDER
                               SECTION 906 OF THE
                           SARBANES-OXLEY ACT OF 2002


         To my  knowledge,  this  Report on Form 10-Q for the six  months  ended
September 30, 2004 of Central  Bancorp,  Inc. (the "Report") fully complies with
the  requirements  of Section 13(a) or 15(d) of the  Securities  Exchange Act of
1934,  and the  information  contained in this Report  fairly  presents,  in all
material  respects,   the  consolidated   financial  condition  and  results  of
operations of Central Bancorp, Inc.



                                   By:  /s/ John D. Doherty
                                        -------------------------------------
                                        John D. Doherty
                                        Chairman, President
                                        and Chief Executive Officer



                                   By:  /s/ Paul S. Feeley
                                        -------------------------------------
                                        Paul S. Feeley
                                        Senior Vice President, Treasurer and
                                        Chief Financial Officer


Date:  November 15, 2004