PSG has now claimed the season-opening cup on 14 different occasions.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past Marseille in the Gulf and secure a record-extending fourth consecutive French Super Cup victory.
The Champions League holders appeared to be sailing towards a comfortable win in the match featuring the Ligue 1 champions and the French Cup winners after the French winger found the net in the opening stages.
Yet, the southern French side fired two times late to seize a surprise advantage. Initially, Mason Greenwood converted from the spot-kick, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a crucial equaliser in the final seconds to send 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 Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all scored successfully for PSG to complete a 4-1 penalty victory.
Now 14-time winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the past thirteen seasons.