PSG has now won the prestigious trophy on fourteen different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to get past 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 straightforward win in the showdown featuring the French league champions and the French Cup holders after Ousmane Dembele found the net early on.
Yet, the southern French side struck two times in the closing moments to take a shock lead. First, Mason Greenwood scored from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker grabbed a crucial leveler in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all scored 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 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the 12th time in the past thirteen years.