The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward triumph in the showdown between the French league winners and the Coupe de France winners after Ousmane Dembele opened the scoring in the opening stages.
Yet, the southern French side fired two times in the closing moments to take a surprise lead. Initially, the English forward scored from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of events, Goncalo Ramos snatched a vital leveler in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and the young talent all converted with composure for Paris Saint-Germain to seal a convincing shootout victory.
Now 14-time winners PSG, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the last thirteen years.