Exhibit 32 (ii)

CERTIFICATION OF CHIEF FINANCIAL OFFICER

PURSUANT TO 18 U.S.C. SECTION 1350

In connection with the Form 10-Q of National Bankshares, Inc. for the quarter ended September 30, 2024, I, Lora M. Jones, Treasurer and Chief Financial Officer (Principal Financial Officer) of National Bankshares, Inc., hereby certify pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, to the best of my knowledge and belief, that:

(1)such Form 10-Q for the quarter ended September 30, 2024, 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 such Form 10-Q for the quarter ended September 30, 2024, fairly presents, in all material respects, the financial condition and results of operations of National Bankshares, Inc.

/s/ Lora M. Jones

Lora M. Jones
Treasurer and

Chief Financial Officer

(Principal Financial Officer)

November 13, 2024