The Parisian club has now won the season-opening trophy on fourteen different times.
The Parisian giants needed a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a straightforward triumph in the showdown featuring the Ligue 1 winners and the Coupe de France winners after the French winger opened the scoring early on.
Yet, the southern French side fired twice late to take a surprise lead. Initially, Mason Greenwood converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a remarkable twist of events, Goncalo Ramos grabbed a crucial equaliser in the dying seconds to send the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive kicks from O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all scored with composure for PSG to complete a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this trophy for the 12th time in the past thirteen seasons.