PSG has now won the prestigious cup on 14 separate times.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be sailing towards a comfortable win in the match between the Ligue 1 champions and the French Cup winners after Ousmane Dembele found the net early on.
Yet, Marseille struck twice in the closing moments to seize a shock lead. First, the English forward converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a vital leveler in the final moments to force the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and the young talent all converted with composure for PSG to seal a 4-1 shootout win.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the last thirteen seasons.