PSG has now won the season-opening cup on fourteen different times.
The Parisian giants required a stoppage-time equaliser followed by a perfect penalty shootout to overcome Marseille in the Gulf and secure a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a straightforward win in the showdown featuring the Ligue 1 winners and the Coupe de France holders after the French winger found the scoring early on.
However, Marseille struck twice in the closing moments to seize a shock advantage. Initially, the English forward converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a vital leveler in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a convincing shootout win.
The record champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this trophy for the 12th time in the last 13 seasons.