The Parisian club has now won the season-opening cup on fourteen different occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a successful spot-kick decider to get past Marseille in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown featuring the Ligue 1 winners and the Coupe de France winners after the French winger opened the scoring in the opening stages.
However, Marseille struck two times in the closing moments to take a shock advantage. First, Mason Greenwood scored 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, Goncalo Ramos grabbed a crucial equaliser in the final seconds to force the match into a deciding shootout. PSG goalkeeper Chevalier then stood as the hero, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for PSG to complete a 4-1 shootout victory.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the last 13 years.