The Parisian club has now won the season-opening trophy on 14 different occasions.
The Parisian giants needed a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions appeared to be sailing towards a straightforward triumph in the match featuring the Ligue 1 champions and the Coupe de France holders after the French winger opened the net early on.
Yet, Marseille fired twice in the closing moments to seize a surprise lead. First, the English forward converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, the Portuguese striker grabbed a vital leveler in the dying moments to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted successfully for Paris Saint-Germain to seal a convincing shootout win.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the last 13 years.
