PSG has now secured the season-opening cup on fourteen separate times.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a comfortable win in the match between the Ligue 1 winners and the Coupe de France winners after the French winger opened the net in the opening stages.
However, the southern French side struck two times in the closing moments to seize a shock lead. 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 remarkable turn of events, the Portuguese striker grabbed a crucial equaliser in the final seconds to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to seal a convincing shootout win.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this trophy for the twelfth time in the last thirteen years.