The Parisian club has now secured the prestigious trophy on 14 different times.
The Parisian giants needed a stoppage-time equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable win in the match between the Ligue 1 champions and the French Cup holders after Ousmane Dembele opened the net early on.
Yet, the southern French side struck twice in the closing moments to seize a shock lead. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a vital leveler in the dying moments to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for PSG to seal a convincing penalty victory.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this trophy for the 12th time in the last thirteen years.