Exhibit 32.2

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER

pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

In connection with the Quarterly Report of Epsilon Energy Ltd. (the “Corporation”) on Form 10-Q for the period ending March 31, 2024 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

(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 result of operations of the Corporation.

Date: May 8, 2024

/s/ J. Andrew Williamson

J. Andrew Williamson

Chief Financial Officer