PSG has now claimed the season-opening cup on fourteen different occasions.
The Parisian giants required a dramatic equaliser followed by a successful penalty shootout to get past their arch-rivals in Kuwait and capture a record-extending fourth consecutive French Super Cup title.
The European champions appeared to be coasting towards a straightforward triumph in the match between the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele found the net early on.
However, Marseille struck two times in the closing moments to take a surprise advantage. First, the English forward scored from the penalty spot, before Willian Pacho unfortunately directed the ball into his own net for an own-goal.
In a remarkable twist of fortune, Goncalo Ramos snatched a vital leveler in the final seconds to send the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the hero, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted successfully for PSG to complete a convincing shootout win.
The record champions PSG, who met last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the past 13 seasons.
