The Parisian club has now won the season-opening trophy on fourteen different times.
The Parisian giants needed a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a straightforward win in the match featuring the Ligue 1 champions and the Coupe de France winners after the French winger opened the scoring early on.
However, the southern French side struck two times in the closing moments to seize a shock advantage. First, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos grabbed a crucial equaliser in the final seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive attempts from O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 shootout victory.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the past thirteen seasons.