PSG has now secured the prestigious cup on 14 different occasions.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions appeared to be sailing towards a comfortable triumph in the match between the French league winners and the Coupe de France holders after the French winger found the net early on.
However, Marseille fired twice in the closing moments to take a shock lead. First, the English forward scored from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos snatched a crucial leveler in the dying moments to force the contest into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the hero, saving crucial attempts from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored successfully for Paris Saint-Germain to seal a convincing shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now won this trophy for the 12th time in the past 13 seasons.