PSG has now claimed the season-opening trophy on 14 different times.
Paris Saint-Germain needed a stoppage-time leveler followed by a successful penalty shootout to overcome Marseille in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be coasting towards a comfortable win in the showdown featuring the Ligue 1 champions and the French Cup winners after the French winger opened the scoring early on.
However, the southern French side struck twice in the closing moments to seize a surprise advantage. First, the English forward scored from the spot-kick, before the defender inadvertently turned the ball into his own net for an own-goal.
In a breathtaking twist of fortune, the Portuguese striker grabbed a vital leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial attempts from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to complete a convincing penalty victory.
The record champions PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now won this trophy for the twelfth time in the last 13 seasons.
