Four fire engines and around 25 firefighters tackled a fire at a flat in Edgar Road, Whitton.
Part of a maisonette on the second and third floor was damaged. There were no reports of any injuries.
The Brigade was called 1149 and the fire was under control by 1239. Fire crews from Feltham, Twickenham and Heathrow fire stations attended.
The cause of the fire is under investigation.