PSG has now secured the season-opening cup on 14 separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful penalty shootout to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be sailing towards a straightforward triumph in the match between the Ligue 1 champions and the Coupe de France winners after the French winger opened the net in the opening stages.
However, the southern French side struck twice in the closing moments to seize a surprise advantage. First, the English forward converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker snatched a crucial equaliser in the final seconds to send the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to seal a 4-1 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 12th time in the past 13 seasons.
