The Parisian club has now secured the prestigious trophy on fourteen separate occasions.
Paris Saint-Germain required a dramatic leveler followed by a perfect penalty shootout to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be sailing towards a straightforward triumph in the showdown between the Ligue 1 champions and the French Cup holders after the French winger opened the scoring in the opening stages.
However, the southern French side struck twice late to take a shock lead. First, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker grabbed a vital equaliser in the dying moments to force the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to seal a convincing penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the past 13 years.