PSG has now won the season-opening cup on 14 different occasions.
Paris Saint-Germain needed a stoppage-time leveler followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The European champions seemed to be sailing towards a comfortable win in the match between the French league champions and the Coupe de France holders after the French winger found the net early on.
Yet, the southern French side struck two times in the closing moments to seize a shock advantage. Initially, the English forward scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of events, the Portuguese striker grabbed a vital leveler in the dying moments to force the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted with composure for PSG to seal a convincing penalty win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the last thirteen seasons.