The Parisian club has now claimed the season-opening trophy on 14 separate times.
The Parisian giants required a stoppage-time leveler followed by a successful spot-kick decider to overcome Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a comfortable triumph in the match featuring the French league champions and the French Cup holders after the French winger found the scoring in the opening stages.
However, the southern French side struck two times in the closing moments to take a shock lead. Initially, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of events, Goncalo Ramos snatched a crucial equaliser 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 attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted successfully for PSG to complete a 4-1 shootout win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the past 13 years.