The Parisian club has now won the season-opening cup on 14 separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a successful penalty shootout to get past Marseille in the Gulf and secure a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be coasting towards a straightforward win in the match between the French league winners and the Coupe de France winners after Ousmane Dembele found the scoring early on.
However, the southern French side struck twice in the closing moments to take a surprise advantage. First, the English forward scored from the penalty spot, before the defender unfortunately turned the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker grabbed a vital leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for Paris Saint-Germain to complete a convincing penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this trophy for the 12th time in the past 13 seasons.