The Parisian club has now won the season-opening trophy on fourteen separate times.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup victory.
The European champions appeared to be coasting towards a comfortable win in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger opened the net early on.
However, the southern French side fired twice late to seize a shock advantage. Initially, Mason Greenwood converted from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital equaliser in the dying moments to send the contest into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to seal a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this trophy for the 12th time in the last 13 years.