PSG has now claimed the season-opening cup on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be sailing towards a straightforward win in the showdown featuring the French league champions and the Coupe de France winners after the French winger found the net early on.
However, the southern French side struck two times in the closing moments to seize a shock advantage. First, the English forward converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a vital equaliser in the dying moments to send the contest into a penalty shootout. PSG goalkeeper Chevalier then stood as the hero, saving decisive kicks from O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 penalty win.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this competition for the 12th time in the past thirteen seasons.