The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
The Parisian giants required a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup victory.
The European champions appeared to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the Coupe de France holders after Ousmane Dembele opened the net early on.
Yet, the southern French side struck twice in the closing moments to take a surprise lead. Initially, the English forward scored from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker snatched a crucial leveler in the dying seconds to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial attempts from O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to complete a convincing shootout win.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the last 13 seasons.