The Parisian club has now claimed the prestigious trophy on fourteen separate times.
Paris Saint-Germain needed a dramatic leveler followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The Champions League holders seemed to be sailing towards a straightforward win in the match between the Ligue 1 champions and the French Cup 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 take a surprise advantage. First, the English forward scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a crucial equaliser in the final seconds to force the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a 4-1 shootout win.
Now 14-time winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the past thirteen seasons.
