The charred wreck of the car was left next to the walkway for golfers at Vale of Llangollen Golf Club, which sits on the banks of the River Dee next to the A5.
One fire engine from the North Wales Fire and Rescue Service station at Llangollen was scrambled to the blaze at 3.04am on Friday.
A spokesman for North Wales Fire and Rescue Service said that the fire is thought to be started deliberately.
The car was said to have suffered 100 per cent fire damage and remained next to the first tee with police tape around it several hours later.
"One crew from Llangollen attended and used one hose-reel jet to extinguish the fire," the fire service spokesman said.