PSG has now claimed the season-opening cup on 14 separate occasions.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 champions and the Coupe de France holders after the French winger opened the scoring early on.
Yet, Marseille fired two times late to seize a shock lead. Initially, the English forward scored from the spot-kick, before the defender unfortunately turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial leveler in the final moments to send the match into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all converted with composure for PSG to complete a convincing penalty victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the last thirteen seasons.