PSG has now secured the season-opening trophy on 14 separate occasions.
The Parisian giants required a stoppage-time equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions seemed to be coasting towards a straightforward triumph in the showdown featuring the French league champions and the Coupe de France holders after the French winger opened the scoring in the opening stages.
However, the southern French side struck twice late to seize a surprise lead. Initially, Mason Greenwood scored from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, the Portuguese striker snatched a crucial leveler in the dying moments to force 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, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored with composure for Paris Saint-Germain to complete a 4-1 penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this competition for the 12th time in the last thirteen years.