PSG has now secured the season-opening trophy on 14 separate times.
The Parisian giants required a dramatic leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The European champions appeared to be sailing towards a straightforward triumph in the match featuring the Ligue 1 winners and the French Cup holders after the French winger found the scoring early on.
However, the southern French side struck twice late to seize a surprise advantage. First, the English forward converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a crucial leveler in the dying seconds to send the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive kicks from 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 shootout win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the past 13 years.