PSG has now secured the prestigious cup on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be sailing towards a comfortable triumph in the showdown between the French league champions and the Coupe de France winners after the French winger found the net early on.
Yet, the southern French side fired twice in the closing moments to take a surprise lead. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital leveler in the final moments to force the match into a penalty shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for PSG to complete a convincing penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the last thirteen seasons.