The Parisian club has now secured the prestigious trophy on 14 separate occasions.
The Parisian giants required a dramatic leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele opened the scoring in the opening stages.
Yet, the southern French side fired two times late to take a surprise advantage. Initially, the English forward scored from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker snatched a vital leveler in the dying seconds to send the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 penalty win.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the past thirteen seasons.