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 September 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: November 4, 2024 |