PSG has now won the season-opening cup on fourteen separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect penalty shootout to overcome Marseille in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward win in the showdown between the French league winners and the Coupe de France winners after the French winger found the net in the opening stages.
However, the southern French side fired two times in the closing moments to take a surprise advantage. Initially, Mason Greenwood converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos grabbed a crucial equaliser in the final seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted successfully for PSG to complete a convincing shootout victory.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the last thirteen seasons.