The Parisian club has now won the season-opening cup on fourteen different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in the Gulf and capture a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be coasting towards a straightforward win in the match between the Ligue 1 champions and the Coupe de France winners after the French winger opened the net early on.
However, the southern French side fired twice in the closing moments to take a shock advantage. First, Mason Greenwood scored from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker grabbed a crucial leveler in the final seconds to force the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for Paris Saint-Germain to seal a 4-1 shootout win.
Now 14-time winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this competition for the 12th time in the past 13 seasons.