The Parisian club has now secured the season-opening trophy on fourteen different occasions.
Paris Saint-Germain needed a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown between the French league champions and the French Cup holders after Ousmane Dembele opened the scoring in the opening stages.
Yet, the southern French side fired twice late to take a shock lead. Initially, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a breathtaking twist of events, Goncalo Ramos snatched a crucial leveler in the final seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for PSG to seal a convincing penalty victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this trophy for the twelfth time in the last 13 seasons.