PSG has now claimed the season-opening cup on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward triumph in the showdown between the Ligue 1 champions and the Coupe de France holders after the French winger opened the net early on.
Yet, the southern French side fired two times in the closing moments to take a surprise lead. First, the English forward converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a crucial leveler in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Lucas 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 with composure for Paris Saint-Germain to complete a convincing shootout win.
The record winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this trophy for the twelfth time in the past thirteen seasons.