War Machine -- CAPTURED by Cops Outside L.A. (PHOTO)

War Machine has been captured in a hotel outside Los Angeles ... TMZ has learned.

He was caught by U.S. Marshals and Simi Valley police .. and we're told he did not put up a fight.

The fugitive MMA fighter was sitting in the hotel room with a pizza and a small amount of cash.

War Machine's been on the run since last Friday ... when police say he brutalized his estranged girlfriend, porn star Christy Mack and her new boyfriend Corey Thomas at her home in Las Vegas.

He's been taken to Ventura County jail.

Cops went to War Machine's home in the San Diego area this morning to remove two of his exotic snakes. According to an officer ... Dog the Bounty Hunter was also there.

Christy Mack's friends and family tell us they're relieved he's been caught.