The Parisian club has now claimed the prestigious cup on 14 different occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele opened the net in the opening stages.
Yet, Marseille struck twice in the closing moments to seize a surprise advantage. First, Mason Greenwood converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a vital equaliser in the final moments to force the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, saving crucial kicks from O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for PSG to seal a 4-1 penalty win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past 13 years.
