Four fire engines and around 25 firefighters tackled a fire at a semi detached house on Grove Street in Deptford.
Most of the first floor was damaged by the fire. One woman left the building before the Brigade arrived and was taken to hospital by London Ambulance Service. Two further women were evacuated from the building by firefighters and taken to hospital.
One of the Brigade's 32-metre turntable ladders was used at the scene to help fight the fire from above.
Control Officers took the first of eight calls at 0804 and mobilised crews from Deptford, Greenwich, New Cross and Dockhead fire stations to the scene. The incident was over for firefighters at 0955.
The fire is believed to have been caused by the unsafe disposal of smoking materials.
A London Fire Brigade spokesperson said: "If you smoke it's vitally important you stub it right out, preferably in an ashtray.
"Always ensure your cigarette is completely out when you’ve finished smoking it. If you don’t, you risk causing a fire."
Smoking safety top tips
It's safer to smoke outside, but make sure cigarettes are put right out and disposed of properly.
Never smoke in bed, and avoid smoking on arm chairs and sofas – especially if you think you might fall asleep.
Take extra care when you’re tired, taking prescription drugs or if you’ve been drinking alcohol.
Use proper ashtrays, which can’t tip over and stub cigarettes out properly.