PSG has now won the season-opening cup on 14 separate occasions.
Paris Saint-Germain needed a stoppage-time equaliser followed by a perfect spot-kick decider to get past their arch-rivals in Kuwait and secure a fourth straight Trophee des Champions title.
The European champions appeared to be sailing towards a straightforward win in the match between the French league winners and the French Cup holders after the French winger opened the scoring early on.
However, the southern French side struck twice in the closing moments to take a surprise lead. First, the English forward scored from the spot-kick, before Willian Pacho inadvertently directed the ball into his own net for an own-goal.
In a remarkable twist of events, the Portuguese striker snatched a vital leveler in the final moments to send the match into a deciding shootout. PSG goalkeeper Lucas Chevalier then stood as the key figure, stopping crucial attempts from Matt O'Riley and Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and Desire Doue all converted with composure for Paris Saint-Germain to complete a convincing penalty win.
Now 14-time winners Paris Saint-Germain, who faced 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 twelfth time in the last 13 years.