Firefighters were called to reports of sheds alight on Riverdale Road in Feltham.
Most of a range of garden sheds at the rear of a row of semi-detached houses were damaged by fire. There were no reports of any injuries.
The Brigade's 999 Control Officers took nine calls to the blaze.
The Brigade was called at 1008 and the fire was under control by 1131. Fire crews from Twickenham fire station attended the scene.
The cause of the fire is under investigation.