PSG has now claimed the season-opening cup on 14 different times.
Paris Saint-Germain required a dramatic leveler followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the Coupe de France winners after Ousmane Dembele opened the net in the opening stages.
Yet, the southern French side fired two times late to take a shock lead. Initially, the English forward scored from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a crucial equaliser in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the hero, 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 Paris Saint-Germain to complete a 4-1 penalty win.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this competition for the 12th time in the past 13 seasons.