PSG has now secured the season-opening trophy on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and secure a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the Coupe de France winners after the French winger found the scoring early on.
However, the southern French side fired twice in the closing moments to take a shock lead. First, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker grabbed a crucial equaliser in the final seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to seal a convincing penalty victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last 13 years.
