The Parisian club has now secured the prestigious cup on 14 different times.
Paris Saint-Germain required a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward win in the showdown between the Ligue 1 champions and the Coupe de France holders after the French winger opened the net early on.
However, the southern French side fired twice late to take a shock advantage. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a remarkable turn of events, the Portuguese striker snatched a vital leveler in the dying seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive kicks from O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to complete a convincing shootout victory.
Now 14-time winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this competition for the twelfth time in the past 13 seasons.