PSG has now claimed the season-opening trophy on 14 different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the French Cup holders after the French winger opened the net in the opening stages.
However, Marseille fired twice late to take a surprise advantage. Initially, Mason Greenwood converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker snatched a vital equaliser in the dying seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all converted successfully for PSG to seal a convincing shootout victory.
The record champions PSG, who faced last season's Ligue 1 runners-up Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the last 13 years.
