PSG has now claimed the season-opening cup on 14 separate occasions.
The Parisian giants needed a dramatic equaliser followed by a perfect penalty shootout to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The European champions seemed to be coasting towards a straightforward triumph in the showdown between the Ligue 1 champions and the Coupe de France winners after the French winger opened the net early on.
However, the southern French side fired twice in the closing moments to seize a shock advantage. Initially, 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 twist of events, Goncalo Ramos snatched a vital equaliser in the final seconds to force the contest into a penalty shootout. PSG goalkeeper Lucas Chevalier then stood as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all scored with composure for PSG to seal a 4-1 shootout win.
Now 14-time champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the last 13 years.