The Parisian club has now claimed the prestigious cup on fourteen separate times.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable triumph in the showdown between the French league winners and the Coupe de France winners after Ousmane Dembele opened the scoring early on.
However, the southern French side fired twice late to seize a surprise advantage. First, the English forward scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a crucial leveler in the final seconds to send the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last thirteen years.