PSG has now won the prestigious cup on fourteen separate times.
The Parisian giants needed a stoppage-time equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions seemed to be coasting towards a straightforward triumph in the showdown featuring the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the scoring early on.
However, the southern French side struck twice late to take a shock lead. First, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a remarkable twist of events, Goncalo Ramos grabbed a crucial leveler in the final moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this trophy for the 12th time in the last thirteen seasons.
