The Parisian club has now secured the prestigious cup on fourteen separate times.
The Parisian giants needed a stoppage-time equaliser followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight Trophee des Champions victory.
The Champions League holders appeared to be coasting towards a comfortable win in the showdown between the French league champions and the Coupe de France winners after the French winger opened the scoring early on.
Yet, the southern French side struck twice in the closing moments to seize a shock advantage. First, the English forward converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to complete a convincing penalty victory.
Now 14-time winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the 12th time in the past thirteen seasons.