PSG has now claimed the prestigious trophy on 14 different occasions.
The Parisian giants required a stoppage-time leveler followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be sailing towards a straightforward win in the showdown featuring the French league winners and the Coupe de France winners after Ousmane Dembele opened the net in the opening stages.
Yet, Marseille fired two times in the closing moments to seize a shock 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 fortune, the Portuguese striker grabbed a crucial equaliser in the final seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to seal a 4-1 shootout win.
The record champions PSG, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this trophy for the 12th time in the past thirteen years.