PSG has now claimed the season-opening trophy on fourteen separate times.
The Parisian giants needed a stoppage-time leveler followed by a perfect penalty shootout to get past their arch-rivals in the Gulf and capture a fourth straight Trophee des Champions title.
The Champions League holders appeared to be sailing towards a comfortable triumph in the match featuring the Ligue 1 winners and the French Cup winners after the French winger opened the scoring early on.
However, 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 Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, the Portuguese striker grabbed a vital leveler in the final moments to send the contest into a deciding shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, Nuno Mendes, and Desire Doue all scored successfully for PSG to complete a convincing shootout victory.
The record winners PSG, who met last season's Ligue 1 second-placed team Olympique de Marseille after achieving a league and cup double, have now won this competition for the twelfth time in the last 13 seasons.