PSG has now claimed the prestigious cup on fourteen different occasions.
The Parisian giants needed a dramatic leveler followed by a perfect penalty shootout to get past Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be coasting towards a comfortable triumph in the showdown featuring the French league winners and the French Cup holders after the French winger opened the net early on.
Yet, Marseille fired twice late to take a surprise lead. First, the English forward scored from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker snatched a vital leveler in the final moments to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all scored successfully for PSG to seal a convincing penalty victory.
The record winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this competition for the twelfth time in the past thirteen years.