Five fire engines and around 35 firefighters were called to a fire at a block of flats on Monarch Way in Newbury Park.
Part of a third floor flat was damaged by the fire. Two people left the flat before the Brigade arrived. There were no reports of any injuries.
The Brigade was called at 1140 and the fire was under control by 1222. Fire crews from Hainault, Romford, Woodford, Stratford and Leyton fire stations were at the scene.
The cause of the fire is believed to be a hairdryer left on the bed and covered by a duvet, which caught light to bedding.
A London Fire Brigade spokesperson said: "Hairdryers, hair tongs, and straighteners can get extremely hot, so it’s very important to remember to switch them off and leave them to cool on a heat proof surface.
"You should never cover them with any materials such as bedding or clothes as these can easily catch light."