Arthur J. Gallagher & Co. (AJG) 10-Q 2016 Q1 Quarterly report

Exhibit 32.1

Section 1350 Certification of Chief Executive Officer

I, J. Patrick Gallagher, Jr., the chief executive officer of Arthur J. Gallagher & Co., certify that (i) the Quarterly Report on Form 10-Q of Arthur J. Gallagher & Co. for the quarterly period ended March 31, 2016 (the“Form 10-Q”) fully complies with the requirements of Section 13(a) or 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 results of operations of Arthur J. Gallagher & Co. and its subsidiaries.

Date: May 2, 2016

/s/ J. Patrick Gallagher, Jr.

J. Patrick Gallagher, Jr.

President and Chief Executive Officer

(principal executive officer)

A signed original of this written statement required by 18 U.S.C. Section 1350 has been provided to Arthur J. Gallagher & Co. and will be retained by Arthur J. Gallagher & Co. and furnished to the Securities Exchange Commission or its staff upon request.