The Parisian club has now won the prestigious trophy on 14 different times.
Paris Saint-Germain required a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a straightforward triumph in the match between the French league winners and the French Cup winners after the French winger found the net early on.
However, the southern French side struck two times late to seize a surprise advantage. First, the English forward converted from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a vital leveler in the final seconds to force the match into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, stopping crucial kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all scored successfully for PSG to complete a 4-1 penalty win.
The record winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now won this trophy for the 12th time in the last thirteen seasons.
