A rider had to undergo surgery after suffering a broken hip when she was thrown from her horse on Monday morning.
The woman was riding along the Upper Quilly Road area of Banbridge around 10.10am when the incident happened.
The driver of the Blue Volkswagen failed to stop at the scene.
Police have today issued an appeal for that driver to come forward.
A PSNI spokesperson commented: “It was reported that around 10.10 am, a female horse rider was thrown from her horse as a Blue Volkswagen Golf or Tiguan was driving past.
“The rider suffered a broken hip, requiring surgery and pins as a result of the incident. The vehicle did not stop and drove in the direction of Banbridge.
“Enquiries are continuing and police would appeal to anyone with any information or who may have dashcam footage to contact police on 101, quoting reference number 740 of 11/01/21.
“A report can be made using the online reporting form via www.psni.police.uk/makeareport. Information can also be provided to Crimestoppers anonymously on 0800 555 111 or online at www.crimestoppers-uk.org