The Parisian club has now won the season-opening trophy on 14 separate occasions.
The Parisian giants needed a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive Trophee des Champions title.
The European champions seemed to be sailing towards a comfortable triumph in the match between the French league champions and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side fired twice in the closing moments to take a shock advantage. 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 twist of events, Goncalo Ramos snatched a vital leveler in the final moments to force the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to seal a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this trophy for the twelfth time in the past 13 seasons.