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                                                                EXHIBIT 32.1



                       CERTIFICATION 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 Annual Report of The InterGroup Corporation (the
"Company") on Form 10-K for the fiscal year ended June 30, 2010, as filed
with the Securities and Exchange Commission on the date hereof (the
"Report"), I, John V. Winfield, President and Chief Executive Officer of the
Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, to the best of my knowledge,
that:

(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.


Date: September 24, 2010                        /s/ John V. Winfield
                                                ----------------------------
                                                John V. Winfield, President
                                                and Chief Executive Officer




[A signed original of this written statement required by Section 906 has been
provided to The InterGroup Corporation and will be retained by The InterGroup
Corporation and furnished to the Securities and Exchange Commission or its
staff upon request.]