The Parisian club has now claimed the prestigious 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 Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown featuring the Ligue 1 champions and the Coupe de France holders after the French winger opened the scoring early on.
Yet, the southern French side fired twice late to seize a surprise lead. Initially, Mason Greenwood converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos grabbed a crucial leveler in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored successfully for Paris Saint-Germain to complete a 4-1 penalty victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this competition for the 12th time in the last thirteen seasons.
