Ian Brown was found dead on the Dailly to Girvan road in Ayrshire at about 3.05am on Saturday.
Police said Mr Brown, 48, was walking home to Dailly after a night with friends at Girvan bowling club when he was hit by a vehicle.
Sergeant Jackie Dunbar, based at the Central Road Policing in Govan, said: "Mr Brown was walking home to Dailly after a night out with friends at Girvan Bowling Club when it appears he was hit by a vehicle.
"He left a local kebab shop at around midnight to begin his walk home. I'm keen to find out exactly what happened over the next three hours. I would appeal to anyone who was in the area at the time to contact police."
Mr Brown's relatives have been told of his death and a report will be sent to the procurator-fiscal.
Anyone with information is asked to contact Sgt Dunbar or PC Colin Brown on 0141 532 5400 or Crimestoppers on 0800 555 111.