The Parisian club has now claimed the prestigious cup on 14 different occasions.
The Parisian giants required a stoppage-time leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a straightforward triumph in the showdown featuring the Ligue 1 winners and the Coupe de France holders after the French winger opened the net early on.
Yet, the southern French side struck two times in the closing moments to take a shock advantage. First, the English forward converted from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a crucial equaliser in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for Paris Saint-Germain to complete a convincing penalty victory.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now won this trophy for the twelfth time in the past 13 years.
