The Parisian club has now claimed the season-opening cup on 14 separate occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a successful penalty shootout to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a comfortable triumph in the match between the French league winners and the French Cup winners after the French winger opened the net early on.
Yet, the southern French side struck two times late to take a surprise lead. First, Mason Greenwood converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a breathtaking turn of events, the Portuguese striker grabbed a vital equaliser in the final moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted with composure for Paris Saint-Germain to seal a convincing penalty victory.
The record champions PSG, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the last 13 years.
