The Parisian club has now won the prestigious cup on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be sailing towards a straightforward triumph in the showdown between the French league champions and the Coupe de France holders after Ousmane Dembele found the net in the opening stages.
However, the southern French side fired two times late to take a surprise lead. First, 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 twist of events, Goncalo Ramos snatched a crucial leveler in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for Paris Saint-Germain to complete a 4-1 penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the past 13 years.
