PSG has now won the season-opening trophy on fourteen separate occasions.
The Parisian giants required a stoppage-time leveler followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown between the French league champions and the French Cup winners after the French winger found the net in the opening stages.
Yet, Marseille fired two times in the closing moments to seize a shock advantage. Initially, the English forward scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker snatched a vital equaliser in the final moments to send the match into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored successfully for Paris Saint-Germain to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this trophy for the twelfth time in the past thirteen years.