PSG has now claimed the season-opening cup on 14 separate times.
Paris Saint-Germain needed a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward triumph in the showdown featuring the Ligue 1 champions and the French Cup holders after the French winger found the net early on.
However, the southern French side fired two times late to seize a shock lead. First, the English forward converted from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker snatched a vital equaliser in the final seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, stopping crucial attempts from O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to complete a convincing penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now lifted this competition for the 12th time in the last 13 years.