PSG has now secured the season-opening cup on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The European champions seemed to be coasting towards a comfortable win in the match between the French league champions and the Coupe de France holders after Ousmane Dembele opened the net early on.
However, the southern French side fired two times in the closing moments to seize a shock lead. First, the English forward scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a vital equaliser in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a 4-1 penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the last thirteen years.
