The Parisian club has now claimed the season-opening cup on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful spot-kick decider to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions victory.
The European champions seemed to be sailing towards a straightforward triumph in the match featuring the Ligue 1 winners and the French Cup winners after Ousmane Dembele opened the scoring in the opening stages.
Yet, the southern French side fired two times in the closing moments to seize a shock advantage. First, Mason Greenwood converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a crucial leveler in the dying seconds to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now lifted this trophy for the 12th time in the past thirteen seasons.