The Parisian club has now won the season-opening cup on 14 different times.
Paris Saint-Germain needed a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a comfortable win in the match between the French league champions and the Coupe de France winners after Ousmane Dembele found the net in the opening stages.
However, the southern French side struck two times in the closing moments to take a shock lead. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos grabbed a crucial equaliser in the final moments to force the match into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to seal a convincing penalty victory.
The record winners PSG, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the past thirteen seasons.