The Parisian club has now secured the prestigious cup on 14 different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward triumph in the showdown between the French league champions and the French Cup holders after the French winger opened the net in the opening stages.
However, Marseille fired twice in the closing moments to seize a surprise advantage. First, Mason Greenwood scored from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a crucial equaliser in the final seconds to send the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to seal a 4-1 penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now lifted this trophy for the twelfth time in the past thirteen years.
