PSG has now won the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a dramatic 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 Champions League holders seemed to be coasting towards a comfortable win in the match between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele found the net early on.
However, the southern French side struck two times late to take a shock advantage. Initially, the English forward scored from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking twist of events, Goncalo Ramos snatched a crucial leveler in the dying seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted successfully for Paris Saint-Germain to seal a convincing penalty victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the past 13 seasons.