PSG has now secured the season-opening cup on 14 separate times.
The Parisian giants needed a dramatic equaliser followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a straightforward win in the showdown between the Ligue 1 champions and the Coupe de France holders after Ousmane Dembele opened the net in the opening stages.
However, Marseille fired two times in the closing moments to take a surprise advantage. First, the English forward converted 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 moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a 4-1 penalty victory.
The record champions 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 thirteen seasons.