The Parisian club has now secured the prestigious trophy on fourteen different occasions.
Paris Saint-Germain needed a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive Trophee des Champions victory.
The European champions seemed to be coasting towards a comfortable win in the showdown featuring the French league winners and the Coupe de France holders after Ousmane Dembele found the net in the opening stages.
Yet, the southern French side fired two times in the closing moments to take a shock lead. First, Mason Greenwood converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a crucial equaliser in the dying seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial kicks from O'Riley and Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a 4-1 penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the past thirteen seasons.