The Parisian club has now secured the season-opening cup on fourteen different occasions.
The Parisian giants required a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a comfortable win in the showdown between the Ligue 1 champions and the French Cup holders after the French winger found the scoring early on.
Yet, Marseille struck two times late to seize a shock lead. Initially, Mason Greenwood converted from the penalty spot, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a crucial leveler in the dying moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for PSG to seal a 4-1 penalty victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the last 13 seasons.