PSG has now secured the prestigious trophy on fourteen separate occasions.
Paris Saint-Germain needed a dramatic equaliser followed by a successful penalty shootout to overcome their arch-rivals in Kuwait and secure a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be coasting towards a comfortable win in the showdown between the Ligue 1 winners and the French Cup winners after the French winger opened the scoring early on.
Yet, the southern French side struck twice in the closing moments to seize a shock lead. First, the English forward scored from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital leveler in the dying seconds to send the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the hero, saving crucial attempts from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted successfully for PSG to complete a convincing shootout victory.
Now 14-time champions PSG, who faced last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this trophy for the twelfth time in the last thirteen years.