PSG has now secured the season-opening cup on fourteen separate occasions.
The Parisian giants needed a dramatic leveler followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be coasting towards a comfortable win in the match featuring the French league winners and the Coupe de France holders after the French winger opened the scoring early on.
Yet, the southern French side struck two times late to take a shock advantage. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a crucial leveler in the final moments to send the match into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, saving crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to complete a 4-1 shootout victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the past thirteen seasons.