Firefighters were called to Bevan Way, where the appliance had ignited.
A Shropshire Fire and Rescue spokesman said: "At 3.41pm on Wednesday, November 9, SFRS Fire Control received a call reporting a kitchen fire in Market Drayton.
"This incident involved an electrical tumble dryer. The fire was out on arrival. Crews assisted with ventilating the property.
"Two fire appliances were mobilised from Hodnet and Market Drayton. An operations officer was in attendance."