Tyrrell went back to 'normal' with the 008 after the six wheel P34 used in the 1976 and 1977 Formula 1 seasons. It was the first Tyrrell designed by Maurice Philippe and the last to feature the ELF sponshorship used on all previous Tyrrells.
Young French driver Patrick Depaillier took his first victory at Monaco in this chassis after finishing second in the season opening Kyalami Grand Prix. He went on the score another second place in the Austrian Grand Prix. It was replaced in 1979 by Tyrrell's first ground effects car, the 009.