The Parisian club has now won the prestigious trophy on fourteen different times.
Paris Saint-Germain required a dramatic leveler followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions victory.
The European champions appeared to be coasting towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup winners after the French winger found the net early on.
Yet, the southern French side struck two times in the closing moments to seize a shock advantage. First, the English forward scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a vital leveler in the final seconds to send the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all scored with composure for Paris Saint-Germain to seal a 4-1 penalty victory.
Now 14-time champions PSG, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the past 13 seasons.