PSG has now claimed the season-opening trophy on 14 separate times.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and secure a record-extending fourth consecutive Trophee des Champions victory.
The Champions League holders appeared to be coasting towards a comfortable win in the match featuring the French league champions and the Coupe de France holders after Ousmane Dembele found the net in the opening stages.
However, the southern French side fired two times late to take a shock advantage. First, the English forward converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a crucial leveler in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to seal a convincing shootout victory.
The record winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the past thirteen years.