Six fire engines and around 40 firefighters were called to a flat fire on Hartslock Drive in Abbey Wood.
Part of a four-roomed flat on the 12th floor of the building was damaged by fire. Five residents were evacuated from a flat on the affected floor and firefighters rescued a dog from the blaze. There were no reports of any injuries.
The Brigade was called at 0733 and the fire was under control by 0806. Fire crews from Plumstead, Orpington, Bromley, East Greenwich and Greenwich fire stations attended the scene.
The cause of the fire is under investigation.