The Parisian club has now won the season-opening cup on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to get past Marseille in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be sailing towards a straightforward win in the showdown between the French league winners and the Coupe de France holders after the French winger opened the net in the opening stages.
Yet, Marseille struck twice in the closing moments to seize a shock lead. Initially, Mason Greenwood converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, Goncalo Ramos snatched a vital equaliser in the final seconds to send the contest into a deciding shootout. PSG goalkeeper Chevalier then stood as the key figure, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for Paris Saint-Germain to complete a 4-1 shootout win.
The record winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the past 13 years.