The Parisian club has now won the season-opening trophy on 14 separate times.
The Parisian giants required a stoppage-time leveler followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions victory.
The European champions seemed to be coasting towards a straightforward triumph in the showdown between the Ligue 1 winners and the Coupe de France winners after the French winger opened the scoring early on.
Yet, the southern French side struck two times in the closing moments to take a surprise lead. First, Mason Greenwood converted from the penalty spot, before the defender unfortunately turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to force the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for PSG to complete a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this trophy for the 12th time in the last 13 seasons.