EastGroup Properties (EGP) 10-Q 2012 Q3 Quarterly report

Exhibit 32(a)

Certification of Chief Executive Officer

EastGroup Properties, Inc.

In connection with the quarterly report of EastGroup Properties, Inc. (the “Company”) on Form 10-Q for the period ended September 30, 2012, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, David H. Hoster II, Chief Executive Officer of the Company, certify, pursuant to 18 U.S.C. 1350, as adopted pursuant to 906 of the Sarbanes-Oxley Act of 2002, that, to my 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/ DAVID H. HOSTER II

DAVID H. HOSTER II

Chief Executive Officer

October 22, 2012

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