PSG has now secured the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions appeared to be sailing towards a comfortable triumph in the showdown between the French league champions and the Coupe de France holders after Ousmane Dembele opened the net early on.
However, Marseille struck twice in the closing moments to take a surprise lead. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho unfortunately directed 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 send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial attempts from O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all converted with composure for Paris Saint-Germain to seal a 4-1 shootout win.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the past 13 seasons.