The Parisian club has now won the prestigious cup on fourteen different times.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a straightforward triumph in the showdown between the Ligue 1 winners and the Coupe de France holders after the French winger opened the net in the opening stages.
However, Marseille fired twice in the closing moments to take a shock advantage. Initially, Mason Greenwood scored from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos grabbed a crucial equaliser in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to complete a 4-1 shootout victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the last 13 years.