The 1978 Daytona 500 was a Winston Cup (now Sprint Cup) event held at Daytona International Speedway on February 19, 1978. Bobby Allison won the 30th annual running of the race, holding off Cale Yarborough by a massive margin. Yarborough, in the meantime, took the early season points lead by 15 markers on Benny Parsons (3rd). Stats