PSG has now claimed the season-opening cup on 14 separate occasions.
Paris Saint-Germain required a dramatic leveler followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward triumph in the showdown featuring the Ligue 1 champions and the Coupe de France holders after the French winger opened the scoring in the opening stages.
However, the southern French side fired two times late to take a shock lead. First, 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 fortune, the Portuguese striker grabbed a crucial leveler in the final moments to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to complete a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this trophy for the twelfth time in the last 13 years.
