PSG has now secured the prestigious cup on fourteen different occasions.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be coasting towards a straightforward win in the match featuring the Ligue 1 champions and the Coupe de France winners after the French winger opened the net early on.
However, Marseille fired two times late to take a shock advantage. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a crucial leveler in the final seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a convincing shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the last 13 seasons.