Two crews from Wellington were called to Acacia Drive, Leegomery, at about 11.50am today.
Crews used a hose reel jet and thermal imaging camera to tackle the blaze.
An operations officer was also in attendance.
Shropshire Fire and Rescue Service said it had received reports of a fire involving rubbish in the rear of a refuse lorry.
The lorry was moved to a waste disposal site and the rubbish was unloaded.