Exhibit 32

CERTIFICATION BY CHIEF EXECUTIVE OFFICER AND CHIEF

FINANCIAL OFFICER 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 Raymond James Financial, Inc. (the “Company”) on Form 10-Q for the quarter ended June 30, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), we hereby certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to our knowledge:

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/ PAUL C. REILLY

Paul C. Reilly

Chief Executive Officer

August 8, 2012

/s/ JEFFREY P. JULIEN

Jeffrey P. Julien

Executive Vice President - Finance,

   Chief Financial Officer and Treasurer

August 8, 2012

127