The Parisian club has now secured the season-opening trophy on 14 separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be sailing towards a straightforward win in the showdown featuring the French league winners and the Coupe de France holders after the French winger opened the scoring in the opening stages.
However, the southern French side struck twice in the closing moments to take a shock lead. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos grabbed a crucial leveler in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive attempts from O'Riley and Hamed Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for PSG to complete a convincing shootout win.
The record champions Paris Saint-Germain, who met 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 thirteen years.