The Parisian club has now won the season-opening cup on fourteen different occasions.
The Parisian giants required 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 European champions appeared to be sailing towards a comfortable triumph in the showdown between the French league winners and the Coupe de France winners after the French winger opened the scoring early on.
However, Marseille struck two times late to take a shock advantage. First, the English forward scored 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, Goncalo Ramos snatched a crucial equaliser in the dying seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive kicks from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all scored successfully for Paris Saint-Germain to seal a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this competition for the twelfth time in the last 13 seasons.
