The Parisian club has now won the prestigious cup on 14 separate occasions.
The Parisian giants required a stoppage-time equaliser followed by a perfect spot-kick decider to get past Marseille in the Gulf and capture a record-extending fourth consecutive Trophee des Champions title.
The European champions appeared to be sailing towards a comfortable win in the match featuring the French league winners and the Coupe de France holders after the French winger found the net early on.
Yet, Marseille struck twice late to take a shock lead. First, the English forward 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 snatched a vital leveler in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping decisive attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all scored successfully for Paris Saint-Germain to seal a convincing penalty win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after completing a domestic double, have now won this competition for the 12th time in the last thirteen years.