Conrad Hilton -- The High-Speed Crash Video

Conrad Hilton was tearing down a street early Saturday when he side-swiped a parked car -- and the impact was all caught on surveillance video ... obtained by TMZ.

In the video, you see Hilton's car speeding down a narrow side street in Brentwood, CA ... then suddenly clipping one car with enough force that it strikes another vehicle, a Mini Cooper. Hilton just keeps on truckin'.

Minutes after the crash ... you see several people milling around in the street, checking the damage -- and then Hilton arrives back on scene.

Someone -- it appears to be Hilton -- has a very animated convo with some of the people. Minutes later an officer arrives and inspects the damage. Cops say Hilton had already left.

According to police, Hilton exchanged information with the owner of the vehicle he hit. He was not ticketed.