The Parisian club has now claimed the season-opening cup on 14 separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be coasting towards a comfortable win in the match between the Ligue 1 winners and the Coupe de France holders after the French winger found the net early on.
Yet, the southern French side struck two times late to seize a surprise advantage. Initially, the English forward scored from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos grabbed a vital equaliser in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for Paris Saint-Germain to seal a 4-1 penalty victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the twelfth time in the past thirteen years.
