They identify the attacker as 30-year-old Goni Guzman.
The attack happened on West 14th Street and Seventh Avenue in Chelsea just after midnight on Sunday.
The 35-year-old victim was stabbed several times in the stomach and arms after an argument.
The victim was rushed to NYC Health and Hospitals/Bellevue in critical but stable condition.
Guzman is described as having black hair and a tattoo on the inner part of his right forearm.
He was last seen wearing a black and gray jacket, a white shirt, gray pants and dark colored sneakers.
Anyone with information in regard to this incident is asked to call the NYPD's Crime Stoppers Hotline at 1-800-577-TIPS (8477) or for Spanish, 1-888-57-PISTA (74782).
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