PSG has now claimed the prestigious cup on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward triumph in the match featuring the French league winners and the Coupe de France holders after Ousmane Dembele opened the net early on.
However, the southern French side fired twice late to take a shock advantage. First, Mason Greenwood 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 crucial equaliser in the dying seconds to force the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, Nuno Mendes, and the young talent all scored with composure for Paris Saint-Germain to seal a convincing shootout victory.
Now 14-time winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this competition for the 12th time in the past 13 seasons.