Exhibit 32


                Certification Pursuant to 18 U.S.C. Section 1350,
      As Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002


Written Statement of Chief Executive Officer and Chief Financial Officer

         The undersigned, Dendy Young, Chairman and Chief Executive Officer of
GTSI Corp. (the "Company"), and Thomas A. Mutryn, Chief Financial Officer and
Senior Vice President of the Company, certify that the Quarterly Report on Form
10-Q for the quarter ended June 30, 2004 filed by GTSI Corp. with the Securities
and Exchange Commission fully complies with the requirements of Section 13(a) or
15(d) of the Securities Exchange Act of 1934 and the information contained in
the Report fairly presents, in all material respects, the financial condition
and results of operations of GTSI Corp.

Date:    August 9, 2004

                               /s/ DENDY YOUNG
                               -------------------------------------------------
                               Dendy Young
                               Chairman and Chief Executive Officer


                               /s/ THOMAS A. MUTRYN
                               -------------------------------------------------
                               Thomas A. Mutryn
                               Chief Financial Officer and Senior Vice President