PSG has now secured the season-opening cup on 14 different occasions.
The Parisian giants required a dramatic leveler 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 sailing towards a straightforward win in the showdown between the Ligue 1 champions and the Coupe de France holders after the French winger opened the net in the opening stages.
However, the southern French side struck twice late to seize a shock advantage. First, Mason Greenwood converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker snatched a vital equaliser in the final seconds to force the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for PSG to seal a 4-1 penalty win.
The record champions PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the past 13 years.