Police were called at about 18:50hrs on Thursday, 20 April to a residential address on Nelgarde Road, SE6 following reports of a firearm discharge.
Officers attended and found a man with minor injuries, believed to have been caused by broken glass.
A search of the area was carried out with the assistance of the National Police Air Service.
A man, aged in his early 30s, has been arrested on suspicion of possession of a firearm and Class A drugs. He has been taken to a south London police station where he remains in custody.
A crime scene is in place.
Anyone with information is asked to call police via 101 quoting reference CAD 6499/20Apr.