The Parisian club has now secured the season-opening trophy on 14 separate times.
Paris Saint-Germain required a dramatic equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The Champions League holders seemed to be sailing towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after Ousmane Dembele found the net in the opening stages.
However, the southern French side fired two times in the closing moments to take a surprise lead. First, the English forward converted from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker snatched a vital equaliser in the final seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 penalty win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the last 13 years.
