PSG has now won the prestigious trophy on 14 different occasions.
Paris Saint-Germain required a dramatic leveler followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be coasting towards a comfortable triumph in the showdown featuring the French league champions and the Coupe de France winners after Ousmane Dembele opened the scoring early on.
Yet, the southern French side fired two times in the closing moments to take a surprise lead. First, the English forward converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker grabbed a crucial leveler in the dying moments to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to complete a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the past thirteen seasons.
