The incident happened at around 8.40am in Wealdstone, Woodside. Two fire engines were sent and nobody was hurt.
A Shropshire Fire & Rescue spokesman said: "At 08.40am we received a call reporting a fire classified as house fire in Telford.
"This incident involved a washing machine in the kitchen. Crews extinguished and isolated utilities to the property. No one was injured.
"Two fire appliances were mobilised from Telford Central. An operations officer was in attendance.
"Crews used breathing apparatus, a covering jet and a hose reel jet to tackle the fire."