The Parisian club has now secured the prestigious trophy on fourteen separate times.
The Parisian giants needed a dramatic equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward triumph in the match between the Ligue 1 champions and the Coupe de France holders after Ousmane Dembele found the net in the opening stages.
Yet, the southern French side struck twice in the closing moments to seize a shock advantage. Initially, the English forward converted from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a vital leveler in the dying seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted successfully for Paris Saint-Germain to complete a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the past thirteen seasons.