Officers attended an address in Maple Close at 7.30 last night alongside the London Ambulance Service.
A 39-year-old man was treated at the scene for stab injuries and was taken to hospital, where he later died.
A man, aged 24, has now been arrested on suspicion of murder.
He was taken into custody after attending a south London police station this afternoon.
In light of the incident, patrols are being stepped up in the area to provide reassurance to residents.
Detective Chief Inspector Alison Foxwell, from Specialist Crime South, who is leading the investigation, said: “The victim’s loved ones are being supported by specially trained officers. They have our deepest sympathies following this terrible loss.
“Anybody who witnessed the incident, or who has information, should contact the police on 101, quoting CAD reference 6812/28APR.
“To remain 100 per cent anonymous, contact Crimestoppers on 0800 555 111.”
