PSG has now won the prestigious trophy on fourteen separate occasions.
Paris Saint-Germain needed a stoppage-time leveler followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger found the scoring early on.
However, the southern French side struck two times in the closing moments to take a shock lead. Initially, Mason Greenwood scored from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial leveler in the final moments to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to complete a convincing shootout win.
The record champions PSG, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this competition for the 12th time in the past 13 years.
