PSG has now won the season-opening cup on 14 different occasions.
The Parisian giants required a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions appeared to be coasting towards a straightforward triumph in the showdown featuring the French league champions and the French Cup holders after Ousmane Dembele found the scoring early on.
Yet, the southern French side fired twice late to seize a surprise lead. Initially, 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 breathtaking twist of fortune, Goncalo Ramos snatched a vital equaliser in the final seconds to send the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to complete a convincing penalty victory.
Now 14-time champions PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the last thirteen seasons.