Six fire engines and around 40 firefighters were called to a fire at a block of flats on Daling Way in Bow.
Part of a flat on the ninth floor of a 20-storey block was damaged by the fire. One woman was treated on scene for smoke inhalation by London Ambulance Service crews.
The Brigade's 999 Control Officers took eight calls to the blaze.
The Brigade was called at 1610 and the fire was under control by 1643. Fire crews from Bethnal Green, Homerton, Poplar, Shadwell, Shoreditch and Millwall fire stations were at the scene.
The Brigade's fire investigators believe the blaze was accidental and caused by the unsafe disposal of smoking materials.
Safety advice for smokers: