PSG has now secured the prestigious cup on 14 different times.
The Parisian giants required a dramatic equaliser followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and capture a record-extending fourth consecutive Trophee des Champions title.
The Champions League holders seemed to be sailing towards a straightforward triumph in the showdown between the Ligue 1 winners and the French Cup holders after the French winger found the scoring in the opening stages.
Yet, the southern French side struck twice late to seize a surprise advantage. First, Mason Greenwood converted from the penalty spot, before Willian Pacho 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 force the match into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive kicks from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 shootout win.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the last thirteen seasons.