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 overcome their arch-rivals in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a comfortable triumph in the match between the Ligue 1 champions and the Coupe de France holders after Ousmane Dembele found the net early on.
However, Marseille fired two times in the closing moments to seize a surprise advantage. Initially, Mason Greenwood scored from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a vital equaliser in the final moments to send the contest into a penalty shootout. The Parisian shot-stopper Lucas Chevalier then stood as the key figure, saving decisive attempts from Matt O'Riley and Traore.
From the spot, Ramos, Vitinha, the full-back, and the young talent all scored with composure for PSG to complete a convincing shootout victory.
The record winners Paris Saint-Germain, who met last season's Ligue 1 runners-up Marseille after completing a league and cup double, have now won this trophy for the 12th time in the last 13 years.
