Exhibit 32.1 CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 I, Robert A. Reynolds, Jr., President and Principal Executive Officer of Graybar Electric Company, Inc. ("the Company"), certify, pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 18 U.S.C. Section 1350, that: (1) The Quarterly Report on Form 10-Q of the Company for the period ended June 30, 2004 (the "Report") fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934; and (2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. /s/ Robert A. Reynolds, Jr. - --------------------------- Robert A. Reynolds, Jr. President and Principal Executive Officer August 12, 2004