The Parisian club has now won the season-opening trophy on fourteen separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the French Cup holders after the French winger found the net early on.
Yet, the southern French side fired two times late to take a surprise 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 breathtaking twist of events, Goncalo Ramos snatched a vital equaliser in the dying moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all converted with composure 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 Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the 12th time in the past 13 seasons.