The Parisian club has now won the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be sailing towards a straightforward win in the showdown between the Ligue 1 champions and the Coupe de France winners after Ousmane Dembele found the scoring early on.
However, Marseille fired twice in the closing moments to take a surprise advantage. Initially, the English forward converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker snatched a vital leveler in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to seal a convincing penalty victory.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this trophy for the 12th time in the past 13 years.