The Parisian club has now claimed the season-opening cup on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight Trophee des Champions title.
The European champions seemed to be coasting towards a comfortable triumph in the match between the French league winners and the French Cup winners after the French winger found the scoring early on.
However, Marseille fired twice late to seize a shock advantage. First, the English forward converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a vital leveler in the dying moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored with composure for PSG to complete a convincing shootout victory.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last 13 years.
