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 Quarterly Report of Transcontinental Realty Investors, Inc. (the “Company”), on Form 10-Q for the period ended September 30, 2004, as filed with the Securities Exchange Commission on the date hereof (the “Report”), the undersigned principal executive and principal financial officer of the Company, hereby certify, 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; and

2. The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company.

Date: November 15, 2004	/s/ J. C. Lowenberg III
	J. C. Lowenberg III
	Executive Vice President and Chief Financial Officer (Principal Financial Officer and Acting Principal Executive Officer)
Date: November 15, 2004	/s/ Scott T. Lewis
	Scott T. Lewis
	Vice President and Chief Accounting Officer

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