The Parisian club has now won the season-opening trophy on 14 separate times.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a straightforward triumph in the match featuring the French league winners and the French Cup 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. First, the English forward scored from the penalty spot, before the defender inadvertently directed 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 dying seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping decisive kicks from O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and the young talent all scored successfully for Paris Saint-Germain to seal a convincing shootout win.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the past 13 seasons.