The Parisian club has now claimed the season-opening trophy on fourteen separate occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The Champions League holders appeared to be coasting towards a comfortable triumph in the match between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele found the scoring early on.
However, Marseille fired twice in the closing moments to take a surprise lead. First, Mason Greenwood scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a crucial equaliser in the dying seconds to send the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the key figure, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 shootout win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past 13 seasons.