He was shot once in the right hip and taken to Lincoln Hospital in stable condition.
Police fired 12 rounds after they say Jiminial pointed a gun at them and refused to drop it.
His unlicensed .40-caliber Smith and Wesson semiautomatic handgun was recovered at the scene.
Two police officers involved in the incident were taken to New York Presbyterian Hospital/Columbia for treatment of trauma.
Police has responded to the apartment after reports that Jiminial was fighting his ex-girlfriend, who was armed with a knife.
The two separated a year and a half ago after being together about three years. Jiminial allegedly attacked his ex-girlfriend in 2006 and had threatened his own mother and grandmother in the past.
NEW YORK AND TRI-STATE AREA NEWS