The Parisian club has now won the season-opening cup on 14 different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward triumph in the showdown featuring the French league champions and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side struck twice in the closing moments to seize a surprise lead. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a crucial equaliser in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, stopping crucial kicks from O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and the young talent all converted with composure for PSG to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last 13 seasons.