The Parisian club has now won the prestigious cup on 14 separate times.
Paris Saint-Germain required a stoppage-time leveler followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable triumph in the match featuring the French league champions and the Coupe de France winners after Ousmane Dembele found the scoring early on.
However, the southern French side struck twice in the closing moments to take a surprise advantage. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a crucial equaliser in the dying seconds to force the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the hero, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored with composure for PSG to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the past thirteen seasons.