PSG has now claimed the prestigious trophy on 14 different occasions.
Paris Saint-Germain needed a dramatic equaliser followed by a perfect spot-kick decider to overcome Marseille in the Gulf and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward win in the showdown between the Ligue 1 champions and the Coupe de France winners after the French winger found the scoring in the opening stages.
Yet, Marseille fired two times in the closing moments to seize a surprise advantage. First, the English forward scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a breathtaking twist of fortune, Goncalo Ramos grabbed a vital equaliser in the dying seconds to force the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive kicks from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored with composure for Paris Saint-Germain to complete a convincing shootout win.
Now 14-time champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now lifted this competition for the twelfth time in the last thirteen seasons.