PSG has now claimed the season-opening cup on 14 separate times.
Paris Saint-Germain needed a dramatic leveler followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions title.
The European champions appeared to be sailing towards a comfortable triumph in the match between the Ligue 1 winners and the Coupe de France winners after Ousmane Dembele found the net in the opening stages.
Yet, the southern French side struck twice in the closing moments to take a surprise lead. First, Mason Greenwood scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own-goal.
In a breathtaking twist of events, the Portuguese striker grabbed a vital leveler in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the key figure, saving decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 penalty win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now lifted this competition for the 12th time in the past 13 years.