PSG has now claimed the prestigious cup on fourteen separate occasions.
The Parisian giants needed a stoppage-time leveler followed by a successful spot-kick decider to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be sailing towards a straightforward win in the match featuring the Ligue 1 winners and the Coupe de France holders after the French winger found the net in the opening stages.
Yet, the southern French side fired twice late to take a surprise advantage. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, Goncalo Ramos grabbed a vital leveler in the final seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to seal a convincing penalty victory.
Now 14-time champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the past thirteen seasons.