PSG has now won the prestigious cup on 14 separate occasions.
Paris Saint-Germain needed a dramatic leveler followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The European champions appeared to be coasting towards a comfortable triumph in the showdown featuring the French league winners and the French Cup holders after Ousmane Dembele opened the net early on.
However, Marseille fired twice late to seize 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 crucial leveler in the final seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted 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 league and cup double, have now won this trophy for the twelfth time in the last 13 years.
