The Parisian club has now won the season-opening cup on fourteen separate times.
The Parisian giants required a stoppage-time equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a straightforward win in the showdown featuring the Ligue 1 champions and the Coupe de France winners after the French winger opened the net early on.
However, Marseille fired twice late to seize a surprise advantage. First, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker grabbed a crucial equaliser in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all scored with composure for Paris Saint-Germain 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 lifted this competition for the 12th time in the last 13 years.