Four fire engines and around 25 firefighters tackled a fire at a flat on Water Lane in Tower Hill.
Half of the balcony and a small part of the fascia of a duplex flat on the ninth and tenth floors were damaged by the fire. One person left the building before the Brigade arrived. There were no reports of any injuries.
Control Officers took the first of four calls regarding the fire at 0448 and mobilised firefighters from Dowgate, Dockhead, Whitechapel and Shadwell fire stations to the scene. The incident was over for firefighters at 0628.
The cause of the fire is under investigation.