PSG has now secured the prestigious trophy on 14 different times.
The Parisian giants needed a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders seemed to be coasting towards a straightforward triumph in the match between the French league winners and the Coupe de France winners after Ousmane Dembele opened the scoring early on.
However, Marseille struck two times in the closing moments to seize a shock lead. First, the English forward scored from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos snatched a crucial equaliser in the final moments to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted successfully for PSG to seal a 4-1 shootout win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last thirteen years.