Four fire engines and around 25 firefighters were called to a fire in St Dunstan's Road, Feltham.
Half of a first floor flat was damaged by fire. There were no reports of any injuries.
The Brigade's 999 control room took 16 calls about the fire.
The fire is believed to have been accidental and involved a tumble dryer.
A London Fire Brigade spokesperson said: “If your white goods start making a strange noise, don’t ignore it. If you think there’s a problem always unplug it and contact the manufacturer or a qualified repair technician.
"Most fires where white goods are the source of ignition are not down to anything you have done – so always make sure you register your appliances as you’ll be informed if any issues are identified with the product you’ve bought."
The Brigade was called at 1527 and the fire was under control by 1701. Fire crews from Twickenham and Heston stations were at the scene.