The Parisian club has now claimed the season-opening trophy on fourteen separate occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful spot-kick decider to get past their arch-rivals in the Gulf and capture a fourth straight Trophee des Champions victory.
The Champions League holders appeared to be coasting towards a straightforward triumph in the match featuring the Ligue 1 winners and the French Cup winners after the French winger found the net in the opening stages.
Yet, the southern French side fired twice in the closing moments to take a shock lead. First, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital equaliser in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a convincing shootout victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this trophy for the twelfth time in the last thirteen years.