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

Pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, I Barry Zyskind, President and Chief Executive Officer (Principal Executive Officer) of AmTrust Financial Services, Inc. (the “Company”), hereby certify, that, to my knowledge:

| 1. | The Quarterly Report on Form 10-Q for the quarter ended March 31, 2012 (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.

Date: May 10, 2012 | By: | /s/ Barry Zyskind
|  | Barry Zyskind
|  | President and Chief Executive Officer
|  | (Principal Executive Officer)