Kadian Nelson, 26, of the Mitcham area, was arrested on Tuesday, 3 November and has been charged with rape and kidnap.
He is due to appear in custody at Wimbledon Magistrates’ Court on Thursday, 5 November.
Police were called shortly after 7am to the North Place area on Tuesday, 3 November.
A teenage girl and her family continue to be supported by specialist officers.
Any witnesses or those who have information that could assist police are asked to call 101 or tweet @MetCC quoting reference 1063/03Nov.
Alternatively, contact the independent charity Crimestoppers anonymously on 0800 555 111.