PSG has now claimed the season-opening trophy on 14 different times.
Paris Saint-Germain needed a dramatic equaliser followed by a perfect spot-kick decider to overcome Marseille in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a comfortable win in the showdown featuring the Ligue 1 winners and the French Cup winners after the French winger opened the net in the opening stages.
Yet, Marseille fired twice late to take a shock lead. Initially, the English forward converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own goal.
In a remarkable turn of events, the Portuguese striker snatched a vital equaliser in the dying moments to send the match into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a convincing shootout win.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the past 13 seasons.