PSG has now won the season-opening cup on 14 different times.
The Parisian giants required a dramatic leveler followed by a perfect penalty shootout to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger found the net early on.
However, the southern French side struck twice late to seize a shock advantage. Initially, Mason Greenwood scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos grabbed a crucial leveler in the dying moments to force the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted successfully for PSG to complete a convincing penalty win.
The record champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last thirteen seasons.