The Parisian club has now claimed the prestigious trophy on 14 different occasions.
The Parisian giants needed a dramatic equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a straightforward triumph in the match between the French league winners and the French Cup winners after the French winger opened the net early on.
Yet, the southern French side fired twice late to seize a shock advantage. Initially, the English forward converted from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a crucial equaliser in the dying moments to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored with composure for Paris Saint-Germain to complete a convincing penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the last thirteen seasons.