One person inside the 1978 Monney M20J aircraft was taken to the hospital with serious injuries. The other occupant in the plane was not hurt.
The plane was doing "touch-and-go" maneuvers, where a pilot lands, rolls and takes off again without stopping.
The FAA and the National Transportation Safety Board are investigating the incident.
FAA records show the plane is registered to Ground Floor Design of Tustin.
The Associated Press contributed to this report.
