Authorities said the six-seat, single-engine aircraft attempted to make an emergency landing around 3 p.m. on the school's soccer field after losing power, but went long and then crashed through a chain-link. The plane hit a tree came to rest upside down at Zelzah Avenue and Plummer Street.
Los Angeles city firefighters said a man and woman were removed from the aircraft and taken to the hospital with non-life-threatening injuries. They were in fair condition. No one on the ground was hurt.
"Fuel was leaking and there were a little bit of flames so I was a little hesitant, but we just put the car on park and ran across the street and tried to help out as fast as we could," said witness Eric Rodriguez.
The Cessna 206, tail No. N5229U, departed from the Northern California city of Novato for John Wayne Airport, according to Ian Gregor, a communications manager for the FAA.
The plane, which was registered to a business in Newport Beach, tried to reach Van Nuys Airport before it went down.
The wreckage was towed away in the night.