The Parisian club has now claimed the prestigious cup on 14 separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions seemed to be sailing towards a straightforward triumph in the showdown between the French league winners and the French Cup winners after the French winger found the scoring in the opening stages.
Yet, the southern French side fired twice late to seize a surprise advantage. 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 grabbed a crucial leveler in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to complete a convincing penalty win.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this trophy for the twelfth time in the past 13 seasons.
