The Parisian club has now won the prestigious cup on fourteen different times.
The Parisian giants needed a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions appeared to be coasting towards a straightforward win in the showdown featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele opened the scoring early on.
However, the southern French side struck twice in the closing moments to seize a shock lead. First, Mason Greenwood converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of fortune, the Portuguese striker snatched a crucial equaliser in the final seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to seal a convincing penalty victory.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the last 13 seasons.