Exhibit 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Exhibit 32.1 Certification of Chief Executive Officer and Chief Financial Officer

Pursuant to 18 U.S.C. § 1350, the undersigned officer of the National Security Group, Inc. (the “Company”), hereby certifies, to such officer’s knowledge, that the Company’s Quarterly Report on Form 10-Q for the period ended June 30, 2021 (the “Report”) fully complies with the requirements of Section 13(a) or 15 (d), as applicable, of the Securities Exchange Act of 1934 and the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: August 13, 2021
/s/ William L. Brunson, Jr.	/s/ Brian R. McLeod
Name: William L. Brunson, Jr. Title: Chief Executive Officer		Name: Brian R. McLeod, CPA Title: Chief Financial Officer