The Parisian club has now claimed the prestigious trophy on 14 separate times.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect penalty shootout to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a straightforward triumph in the showdown between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the scoring early on.
However, the southern French side struck twice in the closing moments to seize a surprise lead. Initially, the English forward converted from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a vital equaliser in the final moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to seal a convincing penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this competition for the 12th time in the last thirteen years.