The incident happened at the junction of Denmark Hill and Camberwell New Road just before 4pm today (July 10).
Officers and London Ambulance Service crews attended and four people injured.
They were taken to hospital where their injuries were assessed as non life threatening.
Three of those taken to hospital were arrested in connection with the incident.
A spokesperson for Metropolitan Police said: “Police were called at 15:58hrs on Thursday, 10 July to reports of a stabbing in Camberwell.
“Officers joined the London Ambulance Service and the London Air Ambulance service at the junction of Denmark Hill and Camberwell New Road where four people were found with injuries.
“The London Ambulance Service took them to hospital for further treatment. None are believed to have life-threatening/changing injuries.
“Three of those taken to hospital were arrested in connection with the incident.
“Bus routes are on diversion and a crime scene remains in place while officers undertake enquiries.
“Enquiries are ongoing to establish the circumstances of the incident.
“If you were a witness or have any information which might help police, please call 101 with the reference 5446/10Jul.
“You can also call Crimestoppers anonymously on 0800 555 111 or visit crimestoppers-uk.org.”