The Parisian club has now claimed the season-opening trophy on 14 different times.
Paris Saint-Germain needed a dramatic leveler followed by a successful spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be coasting towards a comfortable win in the showdown between the French league winners and the Coupe de France holders after the French winger opened the scoring in the opening stages.
Yet, the southern French side fired twice in the closing moments to seize a shock advantage. Initially, 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 twist of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to seal a convincing shootout victory.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this trophy for the twelfth time in the last 13 years.