The Parisian club has now won the prestigious trophy on 14 separate occasions.
Paris Saint-Germain needed a dramatic equaliser followed by a successful spot-kick decider to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be coasting towards a comfortable triumph in the showdown between the Ligue 1 winners and the French Cup winners after Ousmane Dembele opened the net early on.
Yet, the southern French side struck twice in the closing moments to seize a surprise advantage. First, Mason Greenwood converted from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a crucial leveler in the final seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all converted successfully for Paris Saint-Germain to seal a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the last 13 seasons.