The London Ambulance Service was called to Winslade Way in Catford Mews at around 7.30pm yesterday (October 21).
Paramedics treated a patient at the scene and took him to hospital “as a priority”.
The condition of the victim and if there have been any arrests is not yet known.
A cordon was pictured outside Iceland in Catford Mews following the incident.
It is the fourth stabbing in a week in Catford since October 15, when a man was stabbed to death on nearby Rushey Green.
Later that day a second man was stabbed in Mountsfield Park.
Police have been unable to confirm the severity of his condition.
On Monday (October 20) a teenage boy was stabbed on Canadian Avenue.
His injuries are not life-changing or threatening.
According to the latest updates from police, there have been no arrests in relation to any of these incidents.
A London Ambulance Service spokesperson said: “We were called at 7.35pm yesterday (21 October) to reports of a stabbing in Winslade Way, SE6.
“We sent an ambulance crew, a paramedic in a fast response car, an incident response officer and a member of our Tactical Response Unit to the scene.
“We treated a patient at the scene and took him to a major trauma centre as a priority.”
Met Police has been contacted for further details.