The Parisian club has now claimed the season-opening trophy on fourteen separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders appeared to be coasting towards a straightforward win in the showdown featuring the Ligue 1 winners and the French Cup winners after Ousmane Dembele found the net in the opening stages.
Yet, the southern French side struck two times in the closing moments to seize a surprise lead. First, Mason Greenwood converted from the spot-kick, 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 crucial equaliser in the final seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted with composure for PSG to complete a 4-1 penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past thirteen years.