PSG has now won the season-opening cup on 14 different occasions.
Paris Saint-Germain required a stoppage-time 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 European champions appeared to be sailing towards a straightforward triumph in the match between the Ligue 1 champions and the French Cup winners after the French winger opened the net in the opening stages.
Yet, the southern French side fired two times in the closing moments to take a shock lead. First, Mason Greenwood scored from the penalty spot, before the defender inadvertently turned the ball into his own net for an own goal.
In a remarkable turn of events, Goncalo Ramos grabbed a vital equaliser in the final moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, saving decisive attempts from O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted with composure for PSG to seal a 4-1 penalty win.
Now 14-time champions Paris Saint-Germain, 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 twelfth time in the past 13 years.