The 1979 season opened with Laffite winning the first two races. He fought for the World Championship title until the last races, but eventually placed only fourth, with 36 points. The following two seasons were similar, with two more fourth places in the Championship and a further three victories. In 1982, however, Laffite finished only 17th in the final classification, with only 5 points scored.

During the early 1980s, Laffite also made three end of season trips to Australia