Six fire engines and around 40 firefighters were called to a fire at a flat on Hammersmith Grove in Hammersmith.
Part of a flat on the fifth floor of an eight-storey block was damaged by the fire. One woman was taken to hospital by London Ambulance Service crews suffering with shock.
Station Commander, Dan Johnson, who was at the scene said: "Firefighters were faced with a very well developed fire on arrival.
"The smoke was very visible from the outside of the building and resulted in our Control Officers taking 17 calls to the blaze.
"Crews worked hard to tackle the fire and contained it to the affected flat."
The Brigade was called at 1321 and the fire was under control by 1416. Fire crews from Chiswick, Fulham, North Kensington and Lambeth fire stations were at the scene.
The cause of the fire is under investigation.