The Parisian club has now claimed the prestigious cup on fourteen different times.
Paris Saint-Germain needed a stoppage-time equaliser followed by a successful penalty shootout to get past their arch-rivals in the Gulf and secure a record-extending fourth consecutive Trophee des Champions victory.
The European champions appeared to be coasting towards a straightforward triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after Ousmane Dembele found the net in the opening stages.
However, the southern French side fired two times in the closing moments to seize a shock lead. First, the English forward scored from the spot-kick, before the defender unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of events, the Portuguese striker grabbed a vital equaliser in the final moments to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the past 13 years.