The 69-year-old woman was crossing Highgate around 9.10am on Thursday when she was struck by a silver Peugeot 206.
The Peugot made off towards the centre after the accident.
The woman suffered serious back injuries and is currently being treated in hospital.
A man died after being hit by a car in Leeds last night.Police are appealing for anyone with information or who knows where the car is to get in touch.
Call 101 or Crimestoppers anonymously on 0800 555 111.