PSG has now claimed the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown between the French league winners and the Coupe de France holders after the French winger opened the net early on.
However, the southern French side fired two times in the closing moments to seize a surprise advantage. First, the English forward scored from the spot-kick, before the defender unfortunately turned 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 seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial attempts from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 penalty victory.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the last 13 seasons.