PSG has now claimed the season-opening cup on 14 separate times.
The Parisian giants required a dramatic equaliser followed by a successful spot-kick decider to get past Marseille in the Gulf and secure a fourth straight Trophee des Champions title.
The European champions appeared to be sailing towards a straightforward win in the match featuring the French league winners and the French Cup winners after the French winger opened the net in the opening stages.
However, the southern French side struck twice in the closing moments to seize a shock advantage. First, the English forward converted from the spot-kick, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable twist of events, Goncalo Ramos grabbed a vital equaliser in the final moments to send the match into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to complete a 4-1 shootout victory.
The record champions PSG, who faced last season's Ligue 1 second-placed team Marseille after completing a league and cup double, have now lifted this competition for the 12th time in the past 13 seasons.
