The Parisian club has now claimed the season-opening trophy on 14 different times.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The European champions appeared to be coasting towards a comfortable triumph in the showdown between the French league champions and the Coupe de France winners after the French winger opened the net early on.
Yet, Marseille fired twice in the closing moments to take a surprise lead. First, the English forward scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a crucial leveler in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to seal a convincing penalty win.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the 12th time in the last thirteen seasons.
