The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
Paris Saint-Germain needed 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 victory.
The European champions seemed to be sailing towards a comfortable triumph in the match between the Ligue 1 winners and the French Cup holders after the French winger found the net early on.
Yet, Marseille struck two times late to take a shock lead. Initially, the English forward scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a crucial equaliser in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to complete a convincing shootout win.
The record champions PSG, 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.