EXHIBIT 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER

Pursuant to

Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. Section 1350)

In connection with the Quarterly Report on Form 10-Q of Horizon Technology Finance Corporation (the “Company”) for the quarterly period ended June 30, 2021 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Robert D. Pomeroy, Jr., as Chief Executive Officer and Chairman of the Board, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of Sarbanes-Oxley Act of 2002, as amended, 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 Company.

/s/ Robert D. Pomeroy, Jr.
Name:	Robert D. Pomeroy, Jr.
Title:	Chief Executive Officer and Chairman of the Board
Date:	July 27, 2021