Cops have arrested a 12-year-old boy after they say he robbed Jim Boeheim's wife at gunpoint last week.

According to Syracuse police, the minor stuck an air gun in Juli Boeheim's face while she was sitting in her car on March 1 at a famous shopping center in New York.

Police say the boy then reached into the Syracuse head coach's wife's vehicle to grab her purse ... claiming he later took off in a stolen car with three other men.