PSG has now won the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a straightforward win in the showdown featuring the Ligue 1 champions and the French Cup winners after the French winger found the net early on.
Yet, the southern French side struck two times late to take a surprise lead. Initially, the English forward scored from the penalty spot, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of events, Goncalo Ramos grabbed a crucial equaliser in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive attempts from O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a 4-1 shootout victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the last 13 seasons.
