PSG has now claimed the season-opening trophy on 14 separate times.
Paris Saint-Germain required a stoppage-time equaliser followed by a successful spot-kick decider to overcome Marseille in Kuwait and capture a fourth straight French Super Cup victory.
The Champions League holders seemed to be coasting towards a straightforward win in the match featuring the Ligue 1 winners and the Coupe de France winners after the French winger opened the scoring early on.
However, the southern French side struck two times late to take a surprise advantage. Initially, Mason Greenwood converted from the penalty spot, before Willian Pacho inadvertently turned the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a vital equaliser in the final moments to force the match into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for Paris Saint-Germain to complete a 4-1 penalty win.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now won this trophy for the twelfth time in the past 13 years.
