PSG has now secured the season-opening cup on fourteen separate times.
Paris Saint-Germain required a stoppage-time leveler followed by a successful spot-kick decider to get past Marseille in Kuwait and capture a fourth straight French Super Cup title.
The Champions League holders appeared to be sailing towards a comfortable win in the showdown between the Ligue 1 winners and the French Cup winners after the French winger opened the net early on.
However, Marseille fired twice in the closing moments to take a shock lead. First, the English forward converted from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of events, Goncalo Ramos snatched a crucial leveler in the final moments to force the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and the young talent all converted successfully for Paris Saint-Germain to complete a 4-1 shootout victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this trophy for the 12th time in the past thirteen years.