PSG has now won the season-opening cup on 14 different occasions.
Paris Saint-Germain needed a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable win in the match between the French league winners and the French Cup holders after the French winger found the net in the opening stages.
However, the southern French side fired two times late to seize a surprise lead. First, Mason Greenwood converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a breathtaking twist of events, the Portuguese striker snatched a vital equaliser in the final seconds to send the contest into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted successfully for Paris Saint-Germain to seal a 4-1 shootout win.
The record winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the last thirteen years.