Officers responded to reports of an incident at Third Street and Gilman Avenue at about 1 p.m., San Francisco police Sgt. Danielle Newman said.
Police say the girl, who was hit by a minivan, was taken to San Francisco General Hospital where she was treated for multiple injuries.
Investigators are trying to determine if the driver or the girl was at fault for the accident.
Anyone with information is encouraged to call San Francisco police homicide investigators at (415) 553-1145 or the anonymous tip line at (415) 575-4444.
(Bay City News contributed to this report)