The Parisian club has now claimed the prestigious trophy on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in the Gulf and capture a fourth straight French Super Cup victory.
The European champions seemed to be coasting towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup winners after the French winger opened the net early on.
However, the southern French side fired twice in the closing moments to take a surprise advantage. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos grabbed a vital leveler in the dying moments to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial attempts from O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to seal a convincing penalty victory.
Now 14-time champions PSG, who faced 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 years.