The Parisian club has now secured the season-opening trophy on 14 different occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a comfortable triumph in the showdown featuring the Ligue 1 champions and the French Cup holders after the French winger found the scoring in the opening stages.
Yet, the southern French side struck two times late to take a surprise advantage. First, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of events, Goncalo Ramos snatched a crucial equaliser in the final moments to send the contest into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to complete a 4-1 shootout win.
The record winners PSG, who faced 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 years.