The Parisian club has now won the season-opening trophy on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward win in the match featuring the French league champions and the Coupe de France holders after the French winger opened the net early on.
Yet, the southern French side struck two times late to take a shock advantage. First, Mason Greenwood scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker grabbed a crucial leveler in the dying seconds to force the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive kicks from O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for PSG to complete a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last 13 seasons.