The Parisian club has now won the prestigious cup on fourteen different occasions.
The Parisian giants needed a dramatic leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward win in the match between the French league champions and the Coupe de France holders after Ousmane Dembele found the scoring early on.
Yet, Marseille fired twice late to take a shock lead. First, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for PSG to seal a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this trophy for the twelfth time in the past 13 years.