The Parisian club has now secured the season-opening trophy on 14 separate times.
The Parisian giants required a stoppage-time equaliser followed by a successful spot-kick decider to get past 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 match between the Ligue 1 winners and the French Cup holders after Ousmane Dembele found the scoring early on.
However, the southern French side struck twice late to seize a shock lead. 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 turn of events, Goncalo Ramos grabbed a vital leveler in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for Paris Saint-Germain to complete a convincing penalty win.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after achieving a domestic double, have now won this trophy for the twelfth time in the last 13 years.