PSG has now claimed the prestigious cup on 14 separate occasions.
Paris Saint-Germain required a stoppage-time equaliser followed by a perfect penalty shootout to get past Marseille in the Gulf and secure a fourth straight French Super Cup title.
The European champions appeared to be sailing towards a straightforward win in the showdown featuring the Ligue 1 champions and the French Cup holders after Ousmane Dembele found the net early on.
However, the southern French side fired twice late to take a shock lead. First, the English forward converted from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking twist of events, the Portuguese striker snatched a vital leveler in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, the full-back, and the young talent all converted with composure for Paris Saint-Germain to complete a convincing penalty win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now lifted this trophy for the twelfth time in the past 13 years.