PSG has now won the prestigious cup on fourteen separate occasions.
The Parisian giants required a dramatic equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be sailing towards a straightforward triumph in the match between the French league winners and the French Cup holders after the French winger found the scoring early on.
However, the southern French side fired twice late to seize a shock advantage. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of events, Goncalo Ramos grabbed a crucial equaliser in the dying moments to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all scored with composure for PSG to seal a convincing penalty win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the past thirteen seasons.