PSG has now claimed the season-opening cup on 14 separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable triumph in the match between the Ligue 1 champions and the French Cup holders after Ousmane Dembele found the scoring in the opening stages.
Yet, Marseille fired twice late to seize a surprise advantage. Initially, the English forward scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker snatched a vital equaliser in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving decisive attempts from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to complete a 4-1 penalty victory.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this trophy for the twelfth time in the past thirteen seasons.