The Parisian club has now won the season-opening cup on 14 separate occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup winners after Ousmane Dembele found the scoring early on.
Yet, the southern French side fired two times in the closing moments to seize a shock lead. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a remarkable twist of events, Goncalo Ramos snatched a vital leveler in the final seconds to send the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and the young talent all scored successfully for PSG to complete a convincing shootout win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last thirteen years.