The Parisian club has now secured the season-opening trophy on fourteen separate times.
The Parisian giants required a dramatic leveler followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The European champions seemed to be coasting towards a straightforward win in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger opened the net early on.
Yet, the southern French side fired two times late to take a surprise lead. First, Mason Greenwood scored 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 grabbed a crucial equaliser in the dying seconds to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial kicks from O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to seal a convincing penalty win.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this competition for the twelfth time in the past thirteen seasons.