Exhibit 32-B

Certification of Chief Financial Officer

Pursuant to

18 U.S.C. Section 1350,

As Adopted Pursuant to

Section 906 of The Sarbanes-Oxley Act of 2002

I, Jeffery P. Howells, Executive Vice President and Chief Financial Officer of Tech Data Corporation, do hereby 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:

(i) Tech Data’s Quarterly Report on Form 10-Q for the quarterly period ended April 30, 2004, (the “Report”) fully complies with the requirements of Section 13(a) or Section 15(d), as applicable, of the Securities Exchange Act of 1934, as amended; and

(ii) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: June 9, 2004

/s/    JEFFERY P. HOWELLS        

Jeffery P. Howells

Executive Vice President and

Chief Financial Officer