HighPeak Energy (HPK) 10-Q 2024 Q2 Quarterly report

EXHIBIT 32.1

CERTIFICATION OF

CHIEF EXECUTIVE OFFICER

OF HIGHPEAK ENERGY, INC.

PURSUANT TO 18 U.S.C. § 1350

I, Jack Hightower, President and Chief Executive Officer of HighPeak Energy, Inc. (the "Company"), hereby certify, in the capacity and on the date indicated below, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge, the accompanying Quarterly Report on Form 10-Q for the quarterly period ended June 30, 2024:

1. Fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

2. Fairly presents, in all material respects, the financial condition and results of operations of the Company.

/s/ Jack Hightower

Jack Hightower

Chief Executive Officer

Date:     August 5, 2024