The incident between a car and pedestrian happened in Grahame Park Way yesterday (March 25).
Officers and London Ambulance Service crews attended and found a woman in her 60s injured.
She was pronounced dead at the scene.
Police say the car involved did not stop but was later found abandoned in nearby Franco Avenue.
Two men, 18 and 19 were later arrested on suspicion of causing death by dangerous driving and failing to stop.
Both are currently in police custody.
Detectives from the Met’s Serious Collision Investigation Unit are investigating the collision and are appealing for witnesses to come forward.
They are keen to hear from anyone who saw the incident or anyone leaving the car in Franco Avenue, including road users who have camera footage, to get in contact.
You can call detectives on 020 8246 9820 or dial 101 and quote CAD4453/25March.
Information can also be provided anonymously to Crimestoppers on 0800 555 111.