The Parisian club has now won the season-opening cup on 14 separate times.
Paris Saint-Germain needed a stoppage-time leveler 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 European champions seemed to be sailing towards a comfortable triumph in the match featuring the French league champions and the French Cup holders after the French winger found the scoring early on.
However, the southern French side fired two times late to seize a shock lead. 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 breathtaking turn of fortune, Goncalo Ramos snatched a crucial leveler in the final seconds to force the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving crucial attempts from O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for PSG to seal a 4-1 shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now won this trophy for the twelfth time in the past thirteen seasons.