Officers from the Metropolitan Police were called to Hoskins Street at 5.40pm on April 9 with reports of an altercation between four males.
They were dispatched to the scene with the London Ambulance Service where they discovered an 18-year-old suffering from stab wounds.
He was taken to hospital and his condition has been confirmed as non-life changing.
There has yet to be an arrest made in connection to the incident.
Urgent enquiries are now underway to locate the other individuals involved in the fight.
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A spokesperson for the Metropolitan Police Service said: “Around 17:40hrs on Wednesday, 9 April, officers were called to an altercation between four males on Hoskins Street, Greenwich.
“We attended with the London Ambulance Service. An 18-year-old man was treated at the scene for stab wounds, and was taken to hospital. His injuries were assessed as non-life changing.
“No arrests have been made, and officers are making urgent enquiries to locate the other individuals. Anyone who witnessed the incident – or who has potentially relevant information – should contact the police on 101, quoting CAD reference 5965/09APR.”