The Parisian club has now won the season-opening trophy on 14 separate times.
The Parisian giants required a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The Champions League holders seemed to be sailing towards a comfortable triumph in the showdown featuring the French league champions and the Coupe de France holders after the French winger opened the scoring early on.
Yet, the southern French side struck two times late to seize a shock advantage. First, 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 turn of events, Goncalo Ramos snatched a crucial equaliser in the dying moments to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for Paris Saint-Germain to seal a convincing shootout win.
The record winners PSG, 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 twelfth time in the past thirteen seasons.