Exhibit 32.1

CERTIFICATION PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report of MidSouth Bancorp, Inc. (the “Company”) on Form 10-Q for the period ending September 30, 2018 (the “Report”), I, James R. McLemore, Chief Executive Officer of the Company, certify that:

(1) 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.

/s/ James R. McLemore

James R. McLemore

Chief Executive Officer

November 9, 2018