A driver failed to stop after being involved in an accident on the A45 between the Earls Barton and Great Doddington slip roads.
The crash took place on the eastbound carriageway at about 1.30pm on Friday, May 31.
A blue VW Sharan was in collision with a silver car, which police believe may have been an Audi, which failed to stop at the scene.
The VW came to rest on the grass verge.
A police spokesman said: “Nobody was injured in the collision, however officers would like to trace the driver of the car which failed to stop at the scene.”
Anyone with information or who witnessed the incident is asked to call the Drivewatch Hotline on 0800 174615.