Police said the incident happened just after 8:30 p.m. near Melrose Avenue and East 161st Street in the Morrisania section.
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In the surveillance video below, you can see the man approach the victim who was standing against a building, and then lunge at him.
Surveillance video shows Bronx slashing
The NYPD said the attacker used a sharp instrument to cut the man on the left side of his face.
The attacker then took off westbound on East 161st Street.
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31-year-old Michael Hall was arrested Thursday night. He faces assault and weapons charges.
Police have not released a motive, and say the men only knew each other in passing.