Exhibit 32.1

CERTIFICATIONS PURSUANT TO

18 U.S.C. §1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

Terry G. Roussel and Timothy C. Collins do each 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 the best of their knowledge, the Quarterly Report of Cornerstone Core Properties REIT, Inc. on Form 10-Q for the three-month period ended June 30, 2012 fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 and that information contained in such Form 10-Q fairly presents in all material respects the financial condition and results of operations of Cornerstone Core Properties REIT, Inc.

	/S/ TERRY G. ROUSSEL
Date:August 14, 2012	Terry G. Roussel
	Chief Executive Officer and Secretary (Principal Executive Officer)
	/s/ TIMOTHY C. COLLINS
Date:August 14, 2012	Timothy C. Collins
	Interim Chief Financial Officer and Treasurer (Principal Financial Officer )