PSG has now secured the prestigious trophy on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to get past Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be coasting towards a straightforward win in the showdown featuring the Ligue 1 winners and the French Cup winners after Ousmane Dembele opened the net in the opening stages.
However, Marseille fired two times in the closing moments to seize a shock lead. First, the English forward scored from the spot-kick, before the defender unfortunately directed the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker snatched a crucial equaliser in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive attempts from O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to complete a convincing penalty victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the past 13 seasons.