PSG has now claimed the season-opening cup on fourteen separate occasions.
Paris Saint-Germain needed a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward win in the showdown between the Ligue 1 winners and the Coupe de France winners after the French winger opened the net in the opening stages.
However, the southern French side fired two times in the closing moments to seize a shock lead. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, the Portuguese striker snatched a vital leveler in the dying seconds to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for Paris Saint-Germain to seal a convincing penalty win.
Now 14-time champions PSG, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the last 13 seasons.