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

In connection with the Quarterly Report of H&E Equipment Services, Inc. (the “Company”) on Form 10-Q for the period ended March 31, 2024 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Bradley W. Barber, Chief Executive Officer and Director of the Company, and Leslie S. Magee, Chief Financial Officer and Secretary of the Company, each certify, pursuant to 18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act of 2002, that:

(1)to my knowledge, 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 results of operations of the Company.

Dated: April 30, 2024	By:	/s/ Bradley W. Barber
		Bradley W. Barber Chief Executive Officer and Director (Principal Executive Officer)
Dated: April 30, 2024	By:	/s/ Leslie S. Magee
		Leslie S. Magee Chief Financial Officer and Secretary (Principal Financial Officer)