PSG has now secured the prestigious trophy on fourteen separate times.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to overcome Marseille 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 between the Ligue 1 champions and the French Cup winners after Ousmane Dembele found the scoring early on.
However, the southern French side fired twice in the closing moments to seize a shock advantage. Initially, the English forward converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos grabbed a vital leveler in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for PSG to complete a 4-1 penalty win.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this trophy for the 12th time in the last thirteen seasons.