The Parisian club has now claimed the prestigious trophy on 14 separate times.
Paris Saint-Germain needed a dramatic equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The European champions seemed to be coasting towards a comfortable triumph in the match between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the net early on.
Yet, Marseille struck twice in the closing moments to seize a surprise advantage. First, the English forward converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker snatched a vital leveler in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for PSG to seal a 4-1 penalty victory.
The record winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the last 13 seasons.
