HMS (HMSY) 10-K 2015 FY Annual report

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 Annual Report of HMS Holdings Corp. (the “Company”) on Form 10-K for the year ended December 31, 2015 as filed with the Securities and Exchange Commission (the “Report”), I, William C. Lucia, Chief Executive Officer of the Company, hereby certify, to the best of my knowledge, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, 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/ William C. Lucia

William C. Lucia

Chief Executive Officer

(Principal Executive Officer)

February 29, 2016

A signed original of this written statement required by Section 906 has been provided to the Company and will be retained by the Company and furnished to the Securities and Exchange Commission or its staff upon request. This written statement accompanies the Form 10-K to which it relates, is not deemed filed with the Securities and Exchange Commission, and will not be incorporated by reference into any filing of the Company under the Securities Act of 1933 or the Securities Exchange Act of 1934, irrespective of any general incorporation language contained in such filing.