PSG has now won the season-opening trophy on fourteen different times.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable win in the match between the Ligue 1 champions and the French Cup winners after Ousmane Dembele found the scoring in the opening stages.
Yet, Marseille fired twice late to seize a shock lead. First, Mason Greenwood scored from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial equaliser in the final moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive kicks from O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a convincing penalty victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this competition for the twelfth time in the past 13 seasons.