The Parisian club has now claimed the season-opening cup on 14 different occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive Trophee des Champions title.
The European champions seemed to be coasting towards a straightforward win in the match between the French league champions and the French Cup winners after Ousmane Dembele found the net in the opening stages.
However, the southern French side struck twice late to seize a surprise advantage. First, Mason Greenwood scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker grabbed a crucial leveler in the dying 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 Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for Paris Saint-Germain to seal a 4-1 shootout win.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last thirteen years.