PSG has now won the season-opening cup on fourteen separate occasions.
The Parisian giants required a dramatic leveler followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions victory.
The European champions appeared to be sailing towards a comfortable triumph in the showdown featuring the French league winners and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side struck twice late to seize a surprise lead. Initially, Mason Greenwood scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital equaliser in the dying moments to send the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 shootout victory.
Now 14-time champions PSG, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this trophy for the twelfth time in the last 13 years.