Exhibit 32.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER

UNDER SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 (18 U.S.C. 1350)

In connection with the Quarterly Report on Form 10-Q for the quarter ended March 31, 2019 (the “Report”) of TSS, Inc. (the “Registrant”), as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Anthony Angelini, President and Chief Executive Officer of the Registrant, 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 Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

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

A signed original of this written statement required by Section 906 has been provided to the Registrant and will be retained by the Registrant and furnished to the Securities and Exchange Commission or its staff upon request.

Date: May 15, 2019	By:	/s/ Anthony Angelini
		Anthony Angelini
		President and Chief Executive Officer
		(Principal Executive Officer)