PSG has now claimed the prestigious trophy on 14 different occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The European champions seemed to be sailing towards a straightforward win in the showdown featuring the Ligue 1 champions and the French Cup holders after the French winger found the net early on.
However, Marseille fired twice late to take a surprise lead. First, the English forward scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, the Portuguese striker snatched a crucial equaliser in the final moments to send the match into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to complete a 4-1 shootout victory.
The record winners PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last thirteen seasons.
