Four fire engines and around 25 firefighters were called to a fire at a flat on Osborne Road in Acton.
Part of a four-roomed flat on the 15th floor of the building was damaged by fire. There were no reports of any injuries.
The Brigade was called at 0752 and the fire was under control by 0853. Fire crews from Acton, Chiswick, Hammersmith and Park Royal fire stations attended the scene.
The cause of the fire is under investigation.