PSG has now secured the season-opening cup on fourteen different times.
The Parisian giants required a stoppage-time leveler followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions seemed to be coasting towards a comfortable triumph in the match featuring the French league winners and the Coupe de France holders after the French winger found the net early on.
However, the southern French side struck two times late to seize a shock advantage. First, the English forward scored from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker snatched a crucial leveler in the dying seconds to send the contest into a deciding shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the hero, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a convincing shootout victory.
The record winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this trophy for the twelfth time in the past thirteen years.