The Parisian club has now secured the prestigious trophy on 14 separate times.
The Parisian giants needed a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a straightforward win in the match featuring the French league champions and the Coupe de France winners after the French winger found the scoring in the opening stages.
Yet, Marseille fired two times late to take a shock advantage. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of events, Goncalo Ramos grabbed a crucial leveler in the final moments to send the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the hero, stopping decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to complete a convincing penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the last 13 seasons.