The Parisian club has now won the prestigious cup on 14 different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be sailing towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup winners after the French winger found the net in the opening stages.
However, the southern French side fired two times late to seize a shock lead. First, the English forward scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a crucial equaliser in the final moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to seal a convincing shootout win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past thirteen years.