The incident started around 4 a.m. Thursday when officers spotted a wrong-way driver on State Route 198 south of Fresno and heading toward NAS Lemoore, authorities said.
CHP chased the vehicle as it crashed through the south fence of the airfield and then crashed into an FA-18E Super Hornet on the south side of the naval base.
The passenger died at the scene. The driver died at a hospital. Their identities were not immediately released.
Officials say the car hit the jet's horizontal stabilizer but have not detailed the damage.
Naval Air Station, Lemoore, built in 1961, has two runways and hosts four Carrier Air Wings.
This is the TYPE of plane they crashed into. @ABC30 both driver and passenger are confirmed dead. @ABC30 pic.twitter.com/cHuVcqCxx1— Vanessa Vasconcelos (@VanessaABC30) March 31, 2016
A mobile command unit is set up at NAS Lemoore. Officials looking into CHP pursuit that ended in a fatal ax. @ABC30 pic.twitter.com/FyOLnxCS9J— Vanessa Vasconcelos (@VanessaABC30) March 31, 2016 The Associated Press contributed to this report.