PSG has now secured the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be sailing towards a comfortable triumph in the showdown between the French league winners and the Coupe de France holders after Ousmane Dembele found the scoring early on.
Yet, Marseille fired two times in the closing moments to seize a surprise lead. Initially, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a vital equaliser in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for PSG to complete a convincing penalty win.
Now 14-time winners PSG, who met last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the last thirteen years.