Six fire engines and around 40 firefighters tackled a fire at a block of flats on Rutherford Way in Wembley.
A small part of the ground floor of the 18 storey building was damaged by the fire. 79 people left the building before the Brigade arrived. There are no reports of any injuries.
Control Officers took the first of two calls at 2236 and mobilised crews from Wembley, Willesden, Stanmore and surrounding fire stations to the scene. The fire was extinguished by 0002.
The fire is believed to have been accidental and was caused by an electrical fault.