PSG has now secured the prestigious cup on fourteen separate occasions.
The Parisian giants needed a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be sailing towards a comfortable win in the showdown featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele opened the net in the opening stages.
However, Marseille fired twice late to seize a surprise advantage. First, the English forward converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of events, Goncalo Ramos grabbed a vital equaliser in the dying seconds to send the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to complete a convincing penalty victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this competition for the 12th time in the past thirteen seasons.