The Parisian club has now claimed the prestigious cup on 14 different times.
Paris Saint-Germain needed a stoppage-time leveler followed by a perfect spot-kick decider to overcome their arch-rivals in Kuwait and capture a fourth straight Trophee des Champions victory.
The European champions seemed to be coasting towards a comfortable triumph in the match between the Ligue 1 winners and the French Cup holders after the French winger found the scoring in the opening stages.
However, the southern French side fired twice late to take a shock lead. Initially, 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 breathtaking turn of fortune, Goncalo Ramos snatched a vital equaliser in the final moments to force the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then emerged as the key figure, saving crucial kicks from Matt O'Riley and Hamed Traore.
From the spot, Ramos, Vitinha, the full-back, and Desire Doue all scored with composure for PSG to seal a 4-1 penalty victory.
The record champions PSG, who met last season's Ligue 1 runners-up Marseille after achieving a league and cup double, have now won this trophy for the twelfth time in the past thirteen seasons.