The plane, a single-engine Cessna 172, crashed into a ravine, landing upright.
The pilot was rescued by L.A. County firefighters. He was hoisted into a rescue helicopter.
The crash occurred near Sierra Madre and Barraca avenues near St. Lucy's Priory Girls High School.
A second patient was also rescued, according to the Los Angeles County Fire Department.
Both patients were transported to L.A. County-USC Medical Center. The two injured were not identified.
The cause of the crash was under investigation.