The Parisian club has now claimed the season-opening trophy on 14 different times.
The Parisian giants required a stoppage-time leveler followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be sailing towards a comfortable triumph in the match featuring the French league winners and the French Cup holders after the French winger opened the net in the opening stages.
However, Marseille fired twice late to seize a surprise lead. First, the English forward scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a crucial equaliser in the final moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping decisive attempts from O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to complete a convincing penalty win.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the past thirteen seasons.