The victim told cops that as he was standing on the subway platform at the Chambers Street station on the A line at around 5:10 a.m., a man approached him and asked him for money, police said.
When the victim refused, the man slashed him across the face.
The injured man then left the train station and called 911 from his place of work, cops said.
He suffered a minor cut to his face and refused medical aid on the scene.
The suspect, who police described as 5-foot-8 wearing a black shirt and blue jeans, is still at large.