PSG has now secured the prestigious trophy on 14 different occasions.
Paris Saint-Germain required a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be sailing towards a straightforward win in the match between the Ligue 1 champions and the Coupe de France winners after the French winger found the net early on.
However, the southern French side struck twice late to take a surprise lead. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, Goncalo Ramos snatched a vital leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving crucial attempts from O'Riley and Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for PSG to seal a 4-1 shootout win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this trophy for the twelfth time in the past thirteen seasons.