PSG has now secured the prestigious cup on fourteen separate times.
Paris Saint-Germain required a dramatic equaliser followed by a perfect penalty shootout to overcome Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The European champions appeared to be sailing towards a straightforward win in the match between the French league winners and the Coupe de France holders after the French winger found the net early on.
Yet, Marseille struck twice late to take a shock advantage. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of events, the Portuguese striker grabbed a crucial leveler in the dying seconds to force the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, saving crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all scored with composure for Paris Saint-Germain to seal a 4-1 shootout victory.
The record champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the past 13 years.
