PSG has now won the prestigious cup on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the Coupe de France holders after the French winger opened the net in the opening stages.
Yet, the southern French side struck twice in the closing moments to take a surprise advantage. Initially, Mason Greenwood scored from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking twist of fortune, the Portuguese striker snatched a vital equaliser in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all scored successfully for PSG to complete a convincing shootout victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the past thirteen seasons.
