PSG has now claimed the prestigious trophy on fourteen different occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a comfortable win in the showdown featuring the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the net early on.
Yet, the southern French side fired two times late to seize a shock advantage. First, 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 twist of fortune, the Portuguese striker snatched a crucial equaliser in the dying moments to force the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive attempts from O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for PSG to seal a convincing penalty win.
The record winners PSG, who met last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the last 13 years.