The Parisian club has now secured the season-opening trophy on fourteen separate times.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be coasting towards a straightforward win in the showdown between the French league champions and the French Cup winners after Ousmane Dembele opened the net early on.
However, Marseille fired two times late to seize a shock lead. Initially, 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 twist of fortune, Goncalo Ramos snatched a vital leveler in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for Paris Saint-Germain to seal a convincing penalty victory.
The record winners PSG, who faced last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the past 13 seasons.