The 42-year-old was struck by a motorcycle as she crossed Haymarket Terrace in Edinburgh at around 5.10pm yesterday.
She suffered injuries to her head and body and was taken to Edinburgh Royal Infirmary for treatment.
The motorcycle fled the scene, towards Edinburgh city centre.
Pc Phil Lees from Police Scotland said: "The motorcycle was dark, possibly black and had two youths on board, neither of whom were wearing helmets. The bike was also displaying an 'L' plate to the rear."
"The area was busy with commuters and I would appeal to anyone that was in the area and saw the motorcycle or the occupants to contact Police Scotland on 101. Alternatively, if you wish to remain anonymous, please contact Crimestoppers on 0800 555 111."