PSG has now won the season-opening cup on fourteen separate occasions.
Paris Saint-Germain required a dramatic leveler followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be coasting towards a straightforward triumph in the showdown between the Ligue 1 winners and the French Cup winners after Ousmane Dembele found the scoring early on.
However, the southern French side fired twice late to seize a shock lead. Initially, the English forward scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a crucial leveler in the final seconds to send the match into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored successfully for PSG to seal a convincing shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the last 13 seasons.