PSG has now won the season-opening cup on 14 separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight Trophee des Champions title.
The Champions League holders appeared to be coasting towards a straightforward triumph in the match featuring the Ligue 1 winners and the French Cup winners after the French winger found the net early on.
Yet, Marseille fired two times late to take a surprise lead. First, Mason Greenwood converted from the penalty spot, before the defender inadvertently directed the ball into his own net for an own-goal.
In a remarkable turn of fortune, the Portuguese striker snatched a vital equaliser in the dying seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping crucial attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, the midfielder, the full-back, and the young talent all converted successfully for Paris Saint-Germain to complete a convincing penalty victory.
Now 14-time champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after achieving a league and cup double, have now won this competition for the 12th time in the last 13 seasons.