The Parisian club has now won the prestigious trophy on 14 separate times.
Paris Saint-Germain required a dramatic leveler followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a comfortable win in the showdown between the Ligue 1 champions and the French Cup winners after the French winger found the scoring early on.
However, Marseille fired two times late to seize a surprise advantage. 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 breathtaking twist of fortune, Goncalo Ramos snatched a crucial leveler in the final moments to send the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to seal a 4-1 penalty victory.
The record winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this trophy for the twelfth time in the last 13 seasons.
