Four fire engines and around 25 firefighters tackled a fire at a student accommodation block on Witan Street in Bethnal Green.
A small part of a flat on the sixth floor of the building was damaged by the fire. One woman left the property before the Brigade arrived. There were no injuries reported.
The Brigade was called at 0131 and the fire was under control at 0222. Fire crews from Bethnal Green, Whitechapel, Shadwell and Shoreditch fire stations attended the scene.
The fire is believed to have been accidental and involved a hand held vacuum cleaner.