PSG has now won the prestigious cup on 14 separate times.
Paris Saint-Germain needed a stoppage-time leveler 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 victory.
The Champions League holders seemed to be sailing towards a straightforward win in the match featuring the French league winners and the Coupe de France holders after the French winger found the scoring in the opening stages.
However, Marseille struck twice in the closing moments to seize a shock advantage. First, Mason Greenwood converted from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker grabbed a crucial equaliser in the final seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for PSG to complete a 4-1 penalty win.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this competition for the twelfth time in the last thirteen seasons.
