The Parisian club has now claimed the prestigious trophy on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a straightforward win in the match between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the net early on.
However, the southern French side fired twice late to take a shock lead. Initially, 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 remarkable twist of fortune, Goncalo Ramos grabbed a crucial equaliser in the final moments to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all converted successfully for Paris Saint-Germain to seal a convincing shootout victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this competition for the twelfth time in the past 13 seasons.