The Parisian club has now won the prestigious trophy on fourteen different times.
Paris Saint-Germain needed a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward win in the match featuring the French league champions and the Coupe de France holders after Ousmane Dembele opened the net in the opening stages.
However, the southern French side struck twice late to take a shock lead. First, Mason Greenwood scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a remarkable twist of fortune, the Portuguese striker snatched a crucial equaliser in the dying seconds to send the match into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to seal a convincing penalty victory.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this trophy for the twelfth time in the last thirteen seasons.
