A boy in his mid-teens was shot on Saturday at Lyly House on the Lawson Estate off Great Dover Street.
Police were called to reports of a shooting at Lyly House at about 1.45pm on Saturday.
A male in his mid-teens was taken to hospital where his condition is described as "not serious".
A Metropolitan Police spokesman says that officers are continuing their enquiries into the incident; no arrests have been made so far.
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