Authorities say the single-engine plane went down around 2:30 pm (local time) yesterday on the green at Penmar Golf Course in the Venice area of Los Angeles.
The course is just west of a runway. But there's no word yet on whether the plane had taken off or was trying to land.
The plane, which was yellow with stars on its wings, appeared to be a Ryan PT-22 Recruit, a vintage plane used for training during World War II. It was mostly intact.
The cause of the crash is under investigation.