The Parisian club has now claimed the season-opening cup on 14 different times.
Paris Saint-Germain needed a stoppage-time leveler followed by a successful spot-kick decider to get past Marseille in the Gulf and secure a record-extending fourth consecutive French Super Cup title.
The European champions seemed to be coasting towards a comfortable win in the showdown featuring the French league winners and the Coupe de France holders after the French winger opened the net in the opening stages.
However, Marseille fired twice late to seize a shock advantage. First, the English forward converted from the spot-kick, before Willian Pacho inadvertently turned the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a crucial leveler in the dying seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, Nuno Mendes, and the young talent all scored successfully for Paris Saint-Germain to complete a convincing shootout victory.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now won this competition for the 12th time in the last 13 seasons.