The 12-year-old was struck by the vehicle on Friday afternoon on Saltcoats Road, Stevenston.
The Auchenharvie Academy student was knocked down outside her own school at around 12.40pm and rushed to Queen Elizabeth University Hospital in Glasgow for treatment.
The extent of the injuries sustained by the pupil has not been disclosed.
Officers are now asking for anyone who witnessed the incident or who has dashcam footage to come forward.
Sergeant Gordon Stewart of the Road Policing Unit at Irvine said: “Around 12.40pm on Friday, September 23, police were called to a report of a crash involving a car and a pedestrian on Saltcoats Road, Stevenston.
“Officers attended and a 12-year-old girl was taken to the Queen Elizabeth University Hospital.
“Police enquiries are continuing and any witnesses or any drivers with dash-cam footage are asked to contact us. Anyone with information that may assist should contact 101 with reference 1423 of 23 September.”
North Ayrshire Council wished the student a speedy recovery.
A local authority spokesperson added: “We are aware that an Auchenharvie Academy pupil is currently being cared for in hospital and we wish them a speedy recovery.
“The incident itself is a matter for Police Scotland and so it would not be appropriate for North Ayrshire Council to provide any further comment at this time.”
For the latest news and breaking news visit our website.
Get all the big headlines, pictures, analysis, opinion and video on the stories that matter to you.
Download the Ayrshire Live app today
The Ayrshire Live app is available to download now.
Get all the local news in your area – plus features, football news and the latest on the coronavirus crisis – at your fingertips 24/7.
The free download features the latest breaking news and exclusive stories while you can customise your page with the sections that matter to you.
You can also download the Ayrshire Live app for FREE now.
We’re also on Facebook – your must-see news, features and pictures throughout the day from Ayrshire Live.
Don’t miss the latest Ayrshire headlines –sign up to our free daily newsletter here