The Parisian club has now secured the season-opening trophy on 14 separate occasions.
The Parisian giants required a dramatic equaliser followed by a perfect penalty shootout to overcome their arch-rivals in the Gulf and secure a record-extending fourth consecutive French Super Cup victory.
The Champions League holders seemed to be coasting towards a comfortable triumph in the showdown featuring the Ligue 1 winners and the French Cup holders after Ousmane Dembele found the scoring in the opening stages.
However, the southern French side fired twice in the closing moments to seize a shock advantage. First, the English forward converted from the penalty spot, before the defender inadvertently turned the ball into his own net for an own-goal.
In a breathtaking twist of events, Goncalo Ramos grabbed a crucial leveler in the final moments to send the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive attempts from O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for Paris Saint-Germain to seal a 4-1 penalty win.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the past 13 years.