PSG has now secured the season-opening cup on fourteen different occasions.
The Parisian giants needed a dramatic equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions seemed to be sailing towards a comfortable win in the match between the French league winners and the French Cup winners after the French winger opened the net in the opening stages.
Yet, the southern French side struck two times in the closing moments to seize a shock lead. Initially, the English forward scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos grabbed a vital leveler in the final moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and the young talent all converted successfully for PSG to seal a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the last 13 seasons.