The Parisian club has now claimed the season-opening trophy on fourteen different occasions.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup 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 shock lead. Initially, the English forward scored from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker grabbed a vital leveler in the final moments to force the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 shootout win.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the past thirteen years.