PSG has now claimed the prestigious trophy on 14 separate occasions.
The Parisian giants required a dramatic leveler followed by a perfect penalty shootout to overcome their arch-rivals in the Gulf and capture a fourth straight Trophee des Champions victory.
The Champions League holders appeared to be coasting towards a comfortable win in the match between the Ligue 1 champions and the Coupe de France holders after the French winger found the net in the opening stages.
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 remarkable twist of events, Goncalo Ramos grabbed a vital leveler in the final seconds to send the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a 4-1 shootout win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the past 13 seasons.