PSG has now secured the prestigious cup on 14 different times.
Paris Saint-Germain 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 title.
The European champions seemed to be coasting towards a straightforward triumph in the match between the French league champions and the Coupe de France holders after Ousmane Dembele found the scoring in the opening stages.
However, the southern French side struck twice in the closing moments to take a surprise lead. First, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker snatched a crucial equaliser in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored successfully for PSG to seal a convincing shootout victory.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this trophy for the 12th time in the last 13 years.