The Parisian club has now claimed the season-opening cup on 14 separate occasions.
Paris Saint-Germain needed a dramatic equaliser followed by a successful penalty shootout to get past Marseille in Kuwait and capture a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders seemed to be coasting towards a comfortable win in the showdown between the French league winners and the Coupe de France holders after the French winger opened the scoring early on.
However, the southern French side struck two times in the closing moments to take a shock advantage. First, the English forward converted from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of events, Goncalo Ramos grabbed a vital leveler in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all converted with composure for Paris Saint-Germain to complete a convincing shootout victory.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the last 13 seasons.