The incident happened in Oakfield Road just before 6pm yesterday (April 15).
Officers and London Ambulance Service crews attended and found a person injured.
They were treated at the scene before being taken to hospital where their condition is unknown at this stage.
We have contacted Metropolitan Police for further information.
A spokesperson for London Ambulance Service said: “We were called at 5.59pm on Tuesday 15 April to reports of a person fallen from height on Oakfield Road, Penge.
“We sent resources to the scene, including an ambulance crew, an incident response officer, a clinical team manager and a command support vehicle.
“We also dispatched London’s Air Ambulance.
“We treated a patient at the scene and took them to a major trauma centre by road.”