The fire service was alerted to the blaze in Steventon Road shortly before midnight.
A Shropshire Fire and Rescue Service spokesman said: "At 11.49pm on Friday, 29 October, we received a call reporting a fire classified as car fire in Wellington.
"One car 50% involved in fire. Crews extinguished using one hosereel jet.
"One fire appliance was mobilised from Telford Central. A fire investigation officer was in attendance."