Exhibit 32.1 CERTIFICATION OF CHIEF EXECUTIVE OFFICER PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 I, James Tilley, the Chief Executive Officer and President of Evans Bancorp, Inc (the "Company"), certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge: (1) the Annual Report of the Company on Form 10-K for the fiscal year ended December 31, 2003 fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934; and (2) the information contained in such Annual Report on Form 10-K fairly presents, in all material respects, the financial condition and results of operations of the Company. This certification is made to comply with the provisions of Section 906 of the Sarbanes-Oxley Act and is not intended to be used for any other purpose. Date: March 18, 2004 By: /s/James Tilley --------------------------------------- Name: James Tilley Title: President and Chief Executive Officer (Principal Executive Officer) 111