A murder investigation was launched on Tuesday, 8 June after the victim of the stabbing at Barge Walk, SE10 died from his injuries in hospital.
He has been named as 35-year-old Nathaniel Ago.
Four men, aged between 17 and 43-years-old, have been arrested on suspicion of murder.
A 17-year-old male, 22-year-old man and 25-year-old man were arrested on Tuesday, 8 June.
A 43-year-old man was arrested in the early hours of Wednesday, 9 June.
They have been taken into custody at police stations in south London.
On Wednesday, 2 June, police were called at 4.23pm to reports of men fighting in the street.
A man, aged in his mid-30s, was found at the scene with knife wounds. Detectives have now identified him as 35-year-old Nathaniel Ago. He was taken to hospital by the London Ambulance Service where he remained for a time in a critical condition. He sadly died from his injuries on Tuesday, 8 June.
Any witnesses or anyone with any information should call police on 101 or Tweet @MetCC quoting CAD 5308/02JUN.
To remain 100% anonymous contact Crimestoppers on 0800 555 111 or online at crimestoppers-uk.org.