PSG has now claimed the prestigious trophy on fourteen different occasions.
The Parisian giants needed a dramatic leveler followed by a successful spot-kick decider to get past Marseille in Kuwait and secure a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders seemed to be coasting towards a straightforward win in the showdown featuring the Ligue 1 champions and the Coupe de France winners after the French winger found the scoring in the opening stages.
However, Marseille fired twice late to seize a surprise advantage. First, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of events, Goncalo Ramos grabbed a vital equaliser in the dying moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to complete a 4-1 penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now won this competition for the 12th time in the last 13 seasons.