PSG has now secured the season-opening trophy on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders appeared to be sailing towards a comfortable triumph in the match featuring the French league champions and the Coupe de France winners after the French winger found the scoring early on.
Yet, the southern French side fired twice in the closing moments to take a surprise lead. Initially, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, the Portuguese striker grabbed a crucial equaliser in the dying seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to seal a 4-1 shootout victory.
Now 14-time winners PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the last 13 seasons.