Nagi Benson said the officers attacked him Jan. 1 after dispersing a large crowd.
Benson and a friend were charged with punching officers.
The apartment building surveillance video shows a man being pulled into an alleyway, kicked and beaten.
Benson filed notice last week that he intends to sue the city for $5 million.
NYPD officials said they hadn't seen the video and declined to comment.
Patrolmen's Benevolent Association President Patrick Lynch defended the officers, saying they used "necessary force." Lynch called Benson "an uncooperative suspect."
Last week, two NYPD patrolmen were suspended after a video showed them beating a handcuffed suspect.