The Parisian club has now secured the season-opening trophy on 14 different occasions.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after Ousmane Dembele found the net early on.
Yet, Marseille struck two times in the closing moments to take a surprise lead. First, the English forward scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker snatched a vital equaliser in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to seal a convincing shootout win.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this competition for the 12th time in the past thirteen years.