The Parisian club has now claimed the season-opening cup on 14 separate times.
Paris Saint-Germain needed a dramatic equaliser followed by a perfect penalty shootout to get past their arch-rivals in the Gulf and capture a fourth straight French Super Cup title.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown between the Ligue 1 winners and the French Cup holders after the French winger found the net early on.
However, the southern French side struck two times late to seize a surprise lead. Initially, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of events, the Portuguese striker grabbed a crucial equaliser in the final seconds to send the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, stopping decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for Paris Saint-Germain to complete a convincing shootout victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the 12th time in the last thirteen years.
