PSG has now secured the prestigious cup on 14 different times.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in the Gulf and capture a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be sailing towards a straightforward win in the match featuring the Ligue 1 champions and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side fired two times late to take a surprise lead. First, the English forward converted from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos grabbed a vital equaliser in the final moments to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for PSG to seal a convincing penalty 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 lifted this competition for the 12th time in the past thirteen seasons.
