The Parisian club has now claimed the prestigious cup on 14 different times.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions appeared to be coasting towards a comfortable triumph in the showdown between the Ligue 1 champions and the Coupe de France winners after Ousmane Dembele found the scoring in the opening stages.
However, Marseille fired twice in the closing moments to seize a shock lead. Initially, the English forward converted from the penalty spot, before the defender inadvertently turned 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 force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 penalty win.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the past 13 seasons.