The 32nd Cannes Film Festival was held from 10 to 24 May 1979. The Palme d'Or went to Apocalypse Now by Francis Ford Coppola, which was screened as a work in progress, and Die Blechtrommel by Volker Schlöndorff. Wikipedia
Awards: Palme d'Or (Apocalypse Now and Die Blechtrommel)
Dates: May 10, 1979 – May 24, 1979
Location: Cannes
Closing film: À nous deux
Opening film: Hair