Los Angeles Fire Department crews responded at about 9:30 p.m. near the 4000 block of South Pacific Avenue.
They found the vehicle engulfed in flames 25 feet below the top of the cliff and attempted to douse the flames.
A woman, apparently the only person in the vehicle, was found nearby and taken to a hospital to be checked out after suffering minor injuries, LAFD said.
An investigation into the crash is underway.