Thomasz Kocik of Buckingham Road, Brent, was charged on Wednesday morning (May 13) and appeared in custody at Wimbledon Magistrates' Court later in the day.
He was remanded in custody until his next appearance at the Central Criminal Court on Friday (May 15).
Mr Kocik was arrested on Monday (May 11) along with two other men, who have since been bailed to a date to be confirmed.
Formal identification has not yet taken place, but police believe the victim is 23-year-old Marta Ligman, a Polish national of Buckingham Road, Brent.
Next of kin have been informed, a Met spokesman confirmed.
Police enquiries are still ongoing and anyone with any information is asked to call officers from the Homicide and Major Crime Command on 020 8785 8244 or the police non-emergency line on 101.