Four fire engines and around 25 firefighters responded to a fire on Foxwood Close, Feltham.
A three roomed flat on the second floor, in a block of three floors, was slightly damaged by fire. Six people evacuated the block before crews arrived. There are no reports of any injuries.
The Brigade was called about the fire at 0231, and firefighters from Feltham, Twickenham and Heston fire stations attended the scene.
The cause of the fire is under investigation.