The Parisian club has now claimed the season-opening trophy on 14 separate occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward win in the match featuring the French league champions and the Coupe de France holders after Ousmane Dembele opened the net early on.
However, Marseille fired two times late to take a surprise advantage. Initially, the English forward scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of events, the Portuguese striker snatched a crucial leveler in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 penalty victory.
The record winners PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this trophy for the twelfth time in the last 13 years.
