The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in the Gulf and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a straightforward triumph in the match between the Ligue 1 champions and the Coupe de France holders after the French winger opened the scoring early on.
Yet, Marseille fired twice in the closing moments to seize a surprise lead. First, Mason Greenwood scored from the penalty spot, 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 crucial leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for PSG to seal a convincing shootout win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this trophy for the 12th time in the past thirteen years.
