PSG has now secured the prestigious trophy on fourteen different times.
The Parisian giants required a stoppage-time leveler followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a straightforward win in the match between the French league champions and the Coupe de France winners after the French winger found the scoring early on.
However, the southern French side fired twice late to take a shock advantage. First, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a crucial leveler in the final moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored with composure for PSG to complete a convincing penalty victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this competition for the twelfth time in the last 13 years.
