Exhibit 23.1 Independent Auditors' Consent The Board of Directors Century Bancorp, Inc.: We consent to the incorporation by reference in the registration statement on Form S-8 of Century Bancorp, Inc. of our report dated January 9, 2002, with respect to the consolidated balance sheets of Century Bancorp, Inc as of December 31, 2001 and 2000, and the related consolidated statements of income, changes in stockholders' equity, and cash flows for each of the years in the three-year period ended December 31, 2001, which report appears in the December 31, 2001, annual report on Form 10-K of Century Bancorp, Inc. /s/ KPMG LLP Boston, Massachusetts March 26, 2002