PSG has now secured the season-opening trophy on 14 separate occasions.
The Parisian giants required a stoppage-time equaliser followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be sailing towards a comfortable triumph in the showdown featuring the Ligue 1 champions and the French Cup winners after Ousmane Dembele opened the scoring early on.
However, Marseille fired two times late to take a shock advantage. Initially, the English forward converted from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos snatched a crucial equaliser in the dying seconds to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to seal a convincing penalty victory.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this competition for the 12th time in the past thirteen seasons.