PSG has now secured the season-opening cup on fourteen different times.
The Parisian giants needed a dramatic leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward win in the match featuring the Ligue 1 winners and the French Cup holders after the French winger opened the scoring in the opening stages.
Yet, the southern French side fired twice in the closing moments to seize a shock lead. First, the English forward 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 fortune, the Portuguese striker grabbed a vital equaliser in the final seconds to send the contest into a deciding shootout. The Parisian shot-stopper Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for PSG to seal a convincing shootout victory.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Olympique de Marseille after completing a league and cup double, have now won this competition for the 12th time in the last thirteen seasons.