The Parisian club has now won the prestigious trophy on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup title.
The European champions appeared to be sailing towards a straightforward win in the match featuring the Ligue 1 champions and the French Cup holders after the French winger found the scoring in the opening stages.
However, the southern French side fired two times late to take a shock advantage. First, the English forward scored 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 grabbed a vital leveler in the final moments to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving crucial kicks from O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all scored with composure for PSG to seal a convincing shootout victory.
The record winners Paris Saint-Germain, who met 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 13 seasons.