The Parisian club has now secured the season-opening cup on 14 different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight Trophee des Champions victory.
The European champions seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger opened the scoring early on.
Yet, the southern French side struck twice late to take a shock advantage. Initially, Mason Greenwood scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital equaliser in the dying moments to send the match into a penalty shootout. PSG goalkeeper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all converted with composure for PSG to seal a convincing penalty victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the last 13 years.