The Parisian club has now secured the prestigious trophy on 14 different times.
Paris Saint-Germain needed a dramatic leveler followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and capture a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders seemed to be sailing towards a comfortable win in the showdown between the Ligue 1 winners and the French Cup holders after the French winger opened the net early on.
Yet, the southern French side struck two times in the closing moments to seize a surprise lead. First, the English forward scored from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos grabbed a vital equaliser in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to seal a 4-1 penalty win.
The record champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the past 13 years.