(TMZ) -- Kim Kardashian and Kanye West got hit by a burglar who ransacked three of their luxury vehicles, and made a getaway ... but not before surveillance cameras captured the alleged perp.

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

TMZ's sources say security at the house spotted the guy and chased him off the property. TMZ was told investigators were given this image -- from a surveillance system.

The guy didn't stop with the Wests. TMZ was told he also hit their next door neighbor Kathy Griffin's place. Again, he trashed a car in the driveway and this time got a purse.

Guess he was disappointed ... since TMZ was told the purse was ditched nearby.  

Photo: Getty Images