Grand Canyon Education (LOPE) 10-Q 2012 Q1 Quarterly report

Exhibit 32.1

CERTIFICATION PURSUANT TO18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report on Form 10-Q of Grand Canyon Education, Inc. (the “University”) for the quarter ended March 31, 2012 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Brian E. Mueller, Chief Executive Officer, of the University, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge:

(1) The Report fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934, as amended; and

(2) The information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the University.

Date: May 7, 2012

/s/ Brian E. Mueller

Brian E. Mueller

Chief Executive Officer (Principal Executive Officer)