Deputies from the Ventura County Sheriff's Department tried to pull the driver over for a traffic stop in Ojai around 4:30 p.m., officials said.
The vehicle sped off and during the chase, it went over the side in the 17000 block of Highway 33 and down a steep embankment.
The unidentified suspect was later rescued and hoisted into a helicopter. The driver was transported to a nearby hospital with moderate injuries, sheriff's officials said.
The California Highway Patrol was expected to take over the investigation.