The Parisian club has now claimed the prestigious cup on 14 different occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a straightforward win in the match featuring the Ligue 1 champions and the Coupe de France holders after Ousmane Dembele found the scoring early on.
Yet, the southern French side fired two times late to take a surprise advantage. Initially, the English forward converted from the penalty spot, before the defender unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker snatched a vital leveler in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all converted successfully for PSG to complete a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the twelfth time in the last 13 seasons.
