EXHIBIT 32.1

CERTIFICATION

PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
(Subsection (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code)

     Pursuant to 18 U.S.C. Section 1350, the undersigned officer of Alexander’s, Inc. (the “Company”), hereby certifies, to such officer’s knowledge, that the Company’s Quarterly Report on Form 10-Q for the quarter ended June 30, 2004 (the “Report”) fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

August 5, 2004	/s/ Steven Roth
	Name: Steven Roth
	Title: Chief Executive Officer