The Parisian club has now claimed the season-opening cup on fourteen different times.
Paris Saint-Germain needed a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a straightforward triumph in the showdown between the French league champions and the French Cup winners after Ousmane Dembele opened the net early on.
Yet, the southern French side struck two times in the closing moments to seize a surprise advantage. Initially, the English forward converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker snatched a vital leveler in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to seal a convincing shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the past thirteen seasons.