PSG has now won the prestigious trophy on 14 separate occasions.
The Parisian giants needed a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in the Gulf and capture a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a comfortable win in the showdown featuring the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the scoring in the opening stages.
Yet, Marseille fired two times late to seize a shock advantage. First, 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 events, Goncalo Ramos snatched a vital equaliser in the final moments to force the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored successfully for PSG to complete a convincing shootout win.
The record champions PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the last 13 seasons.