The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful spot-kick decider to overcome Marseille in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a straightforward triumph in the showdown between the French league champions and the Coupe de France holders after Ousmane Dembele found the scoring in the opening stages.
However, the southern French side struck two times in the closing moments to take a shock lead. First, the English forward scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a crucial equaliser in the final moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted with composure for PSG to complete a 4-1 shootout win.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this trophy for the twelfth time in the last 13 seasons.
