PSG has now secured the season-opening cup on fourteen different occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable win in the showdown between the Ligue 1 champions and the Coupe de France holders after the French winger opened the scoring in the opening stages.
Yet, Marseille struck twice late to seize a shock advantage. Initially, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos grabbed a vital equaliser in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, saving decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored successfully for PSG to seal a 4-1 shootout victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this competition for the 12th time in the last thirteen seasons.