1982 was Speed's first full year of competition on the Winston Cup circuit. This time, Speed was driving for the first time for another car owner, Roger Hamby. The beginning of the season was a struggle with Speed not obtaining a top ten finish until the 11th race, at Dover International Speedway. In July at Daytona, Speed scored his second top ten finish with a ninth. Speed continued to struggle as the season wrapped up managing to finish sixth in the Southern 500 at Darlington and eighth at the fall event at the North Wilkesboro Speedway. Speed finished 20th in points.