EXCLUSIVE

A Kim Kardashian and Kanye West's staffer was hit by a crook who ransacked 3 vehicles at the end of their driveway and made a getaway ... but not before surveillance cameras captured the alleged perp.

According to law enforcement sources ... the theft went down around 4 AM PT Friday at their Bel Air mansion. We're told the suspect never entered the home, but trashed the cars at the end of the driveway. After all that ... we're told all he got was one iPhone, which belongs to one of Kim & Kanye's staffers.

Our sources say security at the house spotted the guy and chased him off. We're told investigators were given this image -- from a surveillance system.

The guy didn't stop with the Wests. We're told he also hit their next door neighbor Kathy Griffin's staff. Again, he trashed a car at the end of the driveway and got a purse.