PSG has now secured the prestigious cup on fourteen separate times.
The Parisian giants required a dramatic leveler followed by a successful spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive French Super Cup victory.
The European champions seemed to be coasting towards a comfortable triumph in the match between the Ligue 1 champions and the French Cup winners after the French winger opened the net in the opening stages.
However, the southern French side fired twice in the closing moments to take a surprise advantage. First, the English forward converted from the spot-kick, before Willian Pacho unfortunately directed the ball into his own net for an own goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a vital equaliser in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive kicks from O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored with composure for PSG to complete a convincing shootout win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past 13 seasons.