Police were called to 56 Leonard Street near Church Street around 1 p.m. ET (1700 GMT), where an unidentified man was pronounced dead at the scene, according to the New York Post.
Bed Bath and Beyond and the New York Police Department did not immediately respond to emails and calls for comment.
The big-box chain - once considered a so-called "category killer" in home and bath goods - has seen its fortunes falter after an attempt to sell more of its own brand, or private label, goods.
Last week, Bed Bath & Beyond said it would close 150 stores, cut jobs and overhaul its merchandising strategy in an attempt to turn around its money-losing business.
Bed Bath & Beyond forecast a bigger-than-expected 26% slump in same-store sales for the second quarter and said it would retain its buybuy Baby business, which it had put up for sale.
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