PSG has now secured the season-opening trophy on 14 separate occasions.
The Parisian giants needed a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a comfortable win in the showdown between the Ligue 1 champions and the Coupe de France winners after Ousmane Dembele found the net in the opening stages.
Yet, Marseille struck twice late to take a shock advantage. First, the English forward scored from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a crucial leveler in the dying moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to complete a convincing shootout victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now won this competition for the 12th time in the past thirteen years.
