PSG has now won the season-opening cup on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a perfect penalty shootout to overcome Marseille in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The Champions League holders seemed to be coasting towards a straightforward win in the showdown featuring the Ligue 1 winners and the French Cup holders after the French winger opened the net in the opening stages.
However, Marseille fired two times late to seize a shock advantage. Initially, the English forward scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of fortune, Goncalo Ramos snatched a vital equaliser in the dying moments to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now won this competition for the twelfth time in the last thirteen years.
