PSG has now claimed the prestigious cup on 14 separate occasions.
The Parisian giants needed 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 Trophee des Champions title.
The European champions appeared to be sailing towards a straightforward triumph in the showdown between the French league winners and the Coupe de France holders after the French winger found the net early on.
However, Marseille fired twice late to take a shock lead. Initially, the English forward converted from the spot-kick, before the defender inadvertently 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 moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 shootout victory.
The record champions PSG, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the past thirteen seasons.