PSG has now secured the season-opening cup on fourteen separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the French Cup winners after Ousmane Dembele found the scoring in the opening stages.
However, the southern French side fired twice late to take a surprise lead. Initially, the English forward converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a vital leveler in the dying moments to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 penalty win.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the past 13 seasons.
