It is believed the fire started in the dashboard of the vehicle. It was put out by a crew from Wellington.
The fire happened in Meeson at 10.10am.
Firefighters were also called out to two fires in the open this morning.
The first was in Majestic Way in Telford at 8.12am.
The second was in Warrensway, Telford at 8.53am, and involved two mattresses alight in a back garden.
Crews from Telford Central were sent to both of these incidents. No one was injured.