PSG has now secured the prestigious cup on 14 separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be sailing towards a straightforward triumph in the showdown between the French league champions and the Coupe de France holders after Ousmane Dembele found the net early on.
However, Marseille fired twice late to seize a surprise lead. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a crucial leveler in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to complete a convincing penalty victory.
The record winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now won this trophy for the 12th time in the last thirteen seasons.