Sutton's girls were up against seven other female teams in the Met Police volunteer police cadets' competition at the Ferndale Community Centre in Brixton.
The Sutton girls won in a tense final against Hackney. After a penalty shoot-out, the score stood at 5 v 5. It then went to a 'sudden death' shoot-out and Sutton won 2 v 1.
The Sutton boys' team, who were up against eight other teams, were placed third after losing in the semi-final in another penalty shoot-out.
PC Lorraine Roche, who is a co-volunteer leader of Sutton Police Cadets, commented: "Both teams were brilliant and a credit to Sutton."