The incident happened at East 187th Street and Prospect Avenue in Belmont just after midnight.
Police say two groups of men with guns got into a shootout with each other, before officers got involved and also opened fire.
One person suffered a graze wound to the leg and fled the scene.
Later, a man showed up at St. Barnabas Hospital with that same kind of injury.
No arrests have been made, and no officers were hurt.