The Parisian club has now claimed the prestigious trophy on 14 separate times.
The Parisian giants required a dramatic leveler followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side struck two times late to seize a shock lead. First, Mason Greenwood scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial equaliser in the final seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive kicks from O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted with composure for PSG to seal a convincing penalty win.
The record champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this competition for the twelfth time in the last 13 years.