Kyle Kuzma's SUV was stolen ... and then taken on a joy ride that led to a high-speed chase, and an eventual crash.

Law enforcement sources tell us ... Kuzma's Chevy Tahoe SUV was stolen somewhere in Hollywood and eventually became involved in a police pursuit around 1:30 AM early Sunday morning. The chase, we're told, ended with the suspect hitting a cop car, and sending an officer to the hospital with minor injuries.

The suspect was eventually nabbed, and we're told he'll be booked on a number of charges. Eyewitnesses on the scene tell us the Tahoe came to a halt when it finally crashed into a gate at Belmont High School, just outside of DTLA ... which is a ways from Hollywood proper.