PSG has now secured the prestigious cup on 14 separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions appeared to be sailing towards a comfortable win in the showdown between the French league winners and the French Cup holders after the French winger opened the net in the opening stages.
Yet, the southern French side struck twice in the closing moments to take a shock lead. Initially, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a vital leveler in the dying moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted with composure for PSG to complete a convincing penalty victory.
Now 14-time champions PSG, who faced last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this trophy for the 12th time in the last 13 years.
