The Parisian club has now claimed the prestigious cup on 14 different times.
Paris Saint-Germain needed a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward triumph in the showdown featuring the French league winners and the Coupe de France winners after the French winger found the net early on.
However, the southern French side fired two times late to seize a shock lead. First, Mason Greenwood 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 fortune, Goncalo Ramos grabbed a crucial equaliser in the final moments to force the match into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to seal a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now won this competition for the twelfth time in the past thirteen years.
