PSG has now secured the prestigious cup on 14 different occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to overcome Marseille in the Gulf and capture a record-extending fourth consecutive French Super Cup title.
The Champions League holders appeared to be sailing towards a comfortable triumph in the showdown between the Ligue 1 champions and the Coupe de France winners after the French winger found the net in the opening stages.
However, the southern French side struck two times in the closing moments to seize a surprise 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 breathtaking turn of events, Goncalo Ramos snatched a vital equaliser in the dying moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and Desire Doue all scored with composure for PSG to complete a convincing shootout win.
The record winners PSG, who faced last season's Ligue 1 second-placed team Olympique de Marseille after achieving a domestic double, have now lifted this competition for the 12th time in the past thirteen years.