The Parisian club has now claimed the prestigious cup on 14 different times.
Paris Saint-Germain needed a dramatic leveler followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be sailing towards a straightforward triumph in the showdown between the Ligue 1 winners and the Coupe de France holders after the French winger found the scoring in the opening stages.
Yet, the southern French side fired twice in the closing moments to seize a shock lead. Initially, the English forward scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a crucial leveler in the dying seconds to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and the young talent all scored successfully for PSG to seal a convincing shootout victory.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this trophy for the 12th time in the last 13 seasons.
