Officers were called by London Ambulance Service to Lee High Road, junction with Burnt Ash Lane, at 11.32am on Monday, 11 November following reports of a serious collision.
London’s Air Ambulance attended and found a 29-year-old man, the rider of the motorcycle, suffering from serious injuries following a collision with a car. The man was taken to a central London hospital by London Ambulance Service where he died on Tuesday, 12 November.
His next of kin has been informed.
The driver of the car failed to stop at the scene. The car involved was stopped by police a short distance away.
The 21-year-old female driver was subsequently arrested on suspicion of failing to stop at the scene of a collision and was taken to a south London police station where she was subsequently released under investigation.
Anyone who has information or dash-cam footage of the incident is asked to call the incident room on 0208 285 1574, call 101 quoting 2549/11NOV, tweet @MetCC or call Crimestoppers anonymously on 0800 555 111.