The Parisian club has now secured the season-opening trophy on 14 different occasions.
Paris Saint-Germain required a dramatic leveler followed by a perfect 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 match between the Ligue 1 winners and the French Cup winners after the French winger found the scoring early on.
However, the southern French side fired two times late to take a surprise advantage. Initially, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker snatched a crucial equaliser in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving crucial attempts from O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted successfully for PSG to complete a 4-1 penalty win.
Now 14-time winners PSG, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now won this competition for the 12th time in the last 13 years.