The Parisian club has now won the season-opening trophy on fourteen different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be coasting towards a straightforward triumph in the showdown between the French league winners and the Coupe de France holders after the French winger found the net early on.
However, the southern French side fired two times late to take a surprise advantage. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos snatched a crucial equaliser in the final seconds to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to complete a convincing shootout win.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the last thirteen years.