PSG has now secured the season-opening trophy on 14 different occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward win in the showdown between the French league winners and the French Cup winners after the French winger opened the net early on.
Yet, Marseille struck twice in the closing moments to take a shock lead. Initially, the English forward scored from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial equaliser in the dying moments to force the contest into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now won this competition for the 12th time in the past 13 seasons.