PSG has now secured the prestigious cup on fourteen separate times.
Paris Saint-Germain required a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be sailing towards a comfortable triumph in the showdown between the Ligue 1 winners and the French Cup holders after Ousmane Dembele opened the scoring in the opening stages.
However, the southern French side struck two times late to seize a shock advantage. First, Mason Greenwood scored from the penalty spot, before Willian Pacho unfortunately turned the ball into his own net for an own-goal.
In a breathtaking twist of events, Goncalo Ramos snatched a vital leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving decisive kicks from O'Riley and Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to complete a 4-1 penalty victory.
Now 14-time champions PSG, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this competition for the twelfth time in the last thirteen years.