PSG has now claimed the prestigious trophy on fourteen different times.
Paris Saint-Germain required a dramatic equaliser followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be sailing towards a comfortable triumph in the showdown between the French league champions and the Coupe de France winners after the French winger found the scoring in the opening stages.
However, the southern French side struck two times in the closing moments to seize a shock advantage. First, the English forward scored from the penalty spot, before the defender inadvertently directed 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 seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for PSG to seal a 4-1 shootout win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now won this competition for the 12th time in the last 13 seasons.