PSG has now won the season-opening cup on fourteen different occasions.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight Trophee des Champions title.
The European champions appeared to be sailing towards a comfortable triumph in the match featuring the Ligue 1 winners and the French Cup winners after the French winger opened the scoring early on.
However, the southern French side struck twice in the closing moments to seize a surprise lead. Initially, 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 breathtaking turn of fortune, the Portuguese striker snatched a crucial equaliser in the final seconds to force the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for PSG to complete a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now lifted this trophy for the twelfth time in the last thirteen seasons.