Exhibit 32.01 Certification of CEO and CFO Pursuant to 18 U.S.C. Section 1350, as Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 In connection with the Quarterly Report on Form 10-Q of Harris & Harris Group, Inc. (the "Company") for the quarterly period ended March 31, 2005 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), Charles E. Harris, as Chief Executive Officer of the Company, and Douglas W. Jamison, as Chief Financial Officer of the Company, each hereby certifies, pursuant to 18 U.S.C. ss. 1350, as adopted pursuant to ss. 906 of the Sarbanes-Oxley Act of 2002, that, to the best of his knowledge: (1) 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/ Charles E. Harris - --------------------------------- Name: Charles E. Harris Title: Chief Executive Officer Date: May 9, 2005 /s/ Douglas W. Jamison - --------------------------------- Name: Douglas W. Jamison Title: Chief Financial Officer Date: May 9, 2005