The Parisian club has now claimed the season-opening trophy on fourteen different times.
Paris Saint-Germain required a stoppage-time leveler followed by a successful spot-kick decider to overcome their arch-rivals in the Gulf and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a comfortable win in the match featuring the Ligue 1 winners and the French Cup holders after the French winger opened the net early on.
Yet, the southern French side fired two times in the closing moments to take a surprise advantage. First, Mason Greenwood scored 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 crucial leveler in the dying moments to send the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving decisive kicks from O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to complete a 4-1 shootout win.
The record winners PSG, who met last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last 13 seasons.