The incident happened at Newington Gardens in Harper Road at around 9.40pm on April 11.
Officers attended and the 19-year-old was taken to hospital where his injuries were found to be non-life changing.
The Metropolitan Police says a man has been charged with wounding with intent and appeared in court.
Further details of the charged suspect have not been shared publicly at this time.
The force have now launched an appeal asking for any witnesses or people with relevant information to come forward and call 101 quoting CAD 7827/11Apr.
Alternatively, contact Crimestoppers anonymously on 0800 555 111.Police have launched an appeal after a stabbing in a public Southwark park