PSG has now claimed the season-opening cup on 14 separate times.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the Coupe de France winners after the French winger opened the net early on.
Yet, Marseille struck two times in the closing moments to seize a surprise lead. Initially, the English forward converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a vital equaliser in the dying moments to send the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive kicks from O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored with composure for PSG to complete a 4-1 shootout victory.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this trophy for the 12th time in the past 13 seasons.