The 56-year-old was last seen alive at a local gas station in Pahrump on July 3, the Nye County Sheriff's Office said.
It is believed the man was working on the Jeep, which apparently fell off of its jacks, Tippetts said.
His name wasn't immediately released.
Parhump is roughly 150 miles from the epicenter of the magnitude 6.4 quake which struck on Independence Day near the southern Californian town of Ridgecrest.
"The vehicle that the man was pinned under had been jacked up safely and, based on the positioning of the body and the tools found at the scene, the man appeared to be working on the vehicle at the time of his death", Tippetts said.
A sprawling Navy base near Ridgecrest remained closed to nonessential personnel Tuesday as the military worked to determine damage.
Teams have so far surveyed just 10% of the 1,200 facilities at Naval Air Weapons Station China Lake, spokeswoman Margo Allen said.
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Water and gas service have been restored at the base, but engineers are ensuring buildings are safe to enter.
Allen said that the shaking cracked walls in a chapel and school and brought down commissary shelves.
"Everything came off the walls".
One person sustained a minor foot injury.
On Monday, US President Donald Trump approved a request by California Governor Gavin Newsom to declare a state of emergency, unlocking extra funds.