PSG has now secured the season-opening cup on 14 different occasions.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown featuring the French league champions and the Coupe de France winners after the French winger opened the scoring in the opening stages.
Yet, Marseille fired twice late to take a surprise advantage. Initially, Mason Greenwood converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital leveler in the final seconds to force the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to seal a 4-1 shootout win.
The record winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now won this trophy for the twelfth time in the past 13 seasons.