PSG has now won the prestigious cup on 14 separate occasions.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a straightforward triumph in the showdown featuring the French league champions and the French Cup holders after the French winger opened the scoring early on.
However, Marseille struck twice in the closing moments to take a shock lead. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital equaliser in the final moments to force the contest into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the key figure, saving crucial kicks from O'Riley and Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to seal a convincing shootout victory.
The record champions PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the past 13 years.
