PSG has now won the prestigious cup on 14 different occasions.
The Parisian giants needed a stoppage-time equaliser followed by a successful penalty shootout to get past Marseille in Kuwait and secure a fourth straight Trophee des Champions title.
The Champions League holders seemed to be coasting towards a comfortable win in the match featuring the French league winners and the French Cup winners after the French winger found the net in the opening stages.
However, the southern French side fired twice late to seize a surprise advantage. First, Mason Greenwood 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, Goncalo Ramos snatched a crucial leveler in the final moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored with composure for Paris Saint-Germain to seal a convincing shootout win.
The record champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the last thirteen seasons.