The Parisian club has now claimed the prestigious cup on fourteen different times.
Paris Saint-Germain required a stoppage-time leveler followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be sailing towards a comfortable triumph in the match between the French league champions and the Coupe de France holders after the French winger found the net early on.
Yet, Marseille struck twice in the closing moments to take a surprise lead. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital equaliser in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive attempts from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all converted successfully for Paris Saint-Germain to seal a convincing penalty victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the past 13 years.