PSG has now claimed the prestigious trophy on 14 separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be coasting towards a straightforward triumph in the showdown between the French league champions and the Coupe de France holders after the French winger found the net in the opening stages.
Yet, Marseille struck two times late to take a shock lead. First, the English forward converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a crucial leveler in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, stopping crucial kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted successfully for Paris Saint-Germain to seal a convincing penalty win.
The record winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this trophy for the twelfth time in the last thirteen seasons.