Officers were called shortly after 11am on Sunday (May 9), to reports of a collision involving a blue Ford Fiesta and a white Mercedes.
No serious injuries were reported, said a spokesman.
They added: “Police investigating the matter would like to speak to anyone who witnessed the collision, or who saw the Ford Fiesta driving along the B2139 between Storrington, Amberley and Houghton beforehand.
“They would particularly like to hear from anyone who may have captured any relevant dash cam footage.”
Anyone with information is asked to contact police online or by calling 101 quoting serial 411 of 09/05.