The Parisian club has now secured the season-opening trophy on fourteen different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele found the scoring early on.
However, the southern French side struck two times late to take a shock lead. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of events, Goncalo Ramos snatched a vital equaliser in the final seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for PSG to complete a 4-1 penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this trophy for the 12th time in the past 13 seasons.
