The film offers a fascinating insight into McQueen’s thoughts about the troubled making of the movie.
Among the hurdles which confronted Le Mans, was an accident during filming which saw racing driver David Piper lose the lower half of one of his legs.
The premiere will be shown at Cannes on Saturday in the Classics section of the celebrated film festival.
McQueen was 50 years of age when he lost his life after a battle with cancer in 1980.