The Parisian club has now claimed the season-opening cup on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders seemed to be sailing towards a straightforward win in the match featuring the Ligue 1 champions and the Coupe de France winners after Ousmane Dembele found the scoring early on.
Yet, the southern French side struck two times late to take a surprise advantage. 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 turn of events, the Portuguese striker snatched a vital leveler in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all converted with composure for Paris Saint-Germain to seal a convincing penalty victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the past thirteen years.