PSG has now secured the prestigious cup on 14 different occasions.
The Parisian giants required a stoppage-time equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 champions and the French Cup winners after the French winger found the net in the opening stages.
Yet, Marseille struck twice late to take a surprise lead. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a vital equaliser in the dying moments to force the match 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 the young talent all converted successfully for Paris Saint-Germain to complete a 4-1 penalty win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this trophy for the 12th time in the past 13 years.
