The fire took place on Glendower Crescent and fire crews received a 999 call at 9.21am on October 18.
Four fire engines and around 25 firefighters from Orpington, Sidcup, and Bromley fire stations were dispatched to the scene.
The blaze partially destroyed a three-room flat on the second floor of the three-storey building.
Fortunately, seven adults managed to leave the property before the firefighters arrived.
One person suffered from smoke inhalation and was treated on site.
The fire was brought under control by 10.11am, and the cause of the incident is currently under investigation.