The Parisian club has now won the prestigious cup on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions appeared to be coasting towards a comfortable win in the showdown featuring the French league champions and the Coupe de France holders after the French winger found the net early on.
However, the southern French side struck twice in the closing moments to seize a surprise advantage. First, the English forward scored from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a remarkable turn of events, the Portuguese striker snatched a crucial equaliser in the final seconds to send the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the hero, saving crucial attempts from O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to seal a convincing shootout victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the last thirteen years.