PSG has now secured the season-opening cup on 14 separate times.
The Parisian giants needed a dramatic leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions seemed to be sailing towards a straightforward win in the match featuring the French league winners and the Coupe de France winners after Ousmane Dembele found the net in the opening stages.
However, the southern French side fired twice late to seize a surprise advantage. First, Mason Greenwood scored from the spot-kick, 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 final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then stood as the key figure, saving crucial kicks from Matt O'Riley and Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for PSG to seal a 4-1 penalty victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now won this trophy for the 12th time in the last thirteen years.