PSG has now secured the prestigious trophy on 14 different occasions.
The Parisian giants required a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward win in the showdown between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele found the net in the opening stages.
Yet, Marseille struck twice late to take a shock lead. First, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a crucial equaliser in the final seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted successfully for Paris Saint-Germain to complete a 4-1 penalty victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the last 13 years.