Law enforcement sources tell us Justin was arrested Sunday morning near Beverly Hills after a cop saw a vehicle run a red light. This occurred around 8 AM -- and the incident was also shot by an eyewitness. In pics obtained by TMZ, you can see JC interacting with the officer.

We're told the officer initiated a traffic stop, where Justin was found to be the driver. After a preliminary investigation, our sources tell us the cop felt there was enough probable cause to cuff him and haul him to jail on suspicion of driving under the influence.

It's unclear what sort of sobriety tests Justin might've been put through, but we know he was booked on a misdemeanor DUI charge ... and that his bond was set at $5,000. No word on whether he's still in custody or not.

Justin is Diddy's first kid, whom he had with Misa Hylton. Like Puff's other children, he's taken after his father and gotten into showbiz -- serving as an actor, producer and entrepreneur, among other things.