A stolen Audi was set on fire on the Minchinhampton common sometime over the weekend.
It happened near the Lodge pub.
The incident has led to angry comments on Facebook.
One user wrote: “What on earth is going on. I am so upset and angry to hear this. I hope the culprits responsible are apprehended.”
A spokesperson for Gloucestershire Police said: “We were called by the fire service at 12.47am on Saturday with a report a car was on fire on Minchinhampton common.
“Officers attended and a car was found to be alight.
“It’s believed the vehicle had been stolen.”
The car was an Audi.
Gloucestershire Fire and Rescue Service were called to the scene at 12am and left at 1.10am.
No one was injured during the incident.
Anyone with information should call police on 101 quoting incident 19 of September 21.