The Parisian club has now won the prestigious cup on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be coasting towards a comfortable triumph in the match between the French league winners and the French Cup winners after Ousmane Dembele found the scoring in the opening stages.
However, Marseille fired two times late to seize a surprise advantage. First, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a vital equaliser in the final moments to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to seal a convincing penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the last thirteen seasons.
