PSG has now won the season-opening trophy on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful spot-kick decider to overcome Marseille 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 French league winners and the Coupe de France holders after Ousmane Dembele found the scoring in the opening stages.
Yet, the southern French side fired two times in the closing moments to take a surprise advantage. First, the English forward converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker grabbed a vital equaliser in the dying moments to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to seal a convincing penalty victory.
Now 14-time winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the past 13 years.
