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 FalconStor Software, Inc., a Delaware Corporation (the Company) on Form 10-Q for the period ended March 31, 2018, as filed with the Securities and Exchange Commission on the date hereof (the Form 10-Q), I, Todd Brooks, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant section 906 of the Sarbanes-Oxley Act of 2002, that to the best of our knowledge:

(i)     the Form 10-Q fully complies, in all material respects, with the requirements of section 13(a) or section 15(d) of the Securities Exchange Act of 1934; and

(ii)     the information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and result of operations of the Company.

/s/ Todd Brooks

Todd Brooks

President and Chief Executive Officer

(principal executive officer)

Date: May 17, 2018