PSG has now won the season-opening trophy on 14 different times.
Paris Saint-Germain required 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 seemed to be coasting towards a comfortable win in the showdown between the French league champions and the Coupe de France holders after the French winger found the scoring in the opening stages.
However, the southern French side fired twice late to seize a surprise advantage. First, the English forward scored from the spot-kick, before the defender inadvertently directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, the Portuguese striker grabbed a vital equaliser in the dying moments to send the match into a penalty shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, stopping crucial kicks from Matt O'Riley and Traore.
In the shootout, Ramos, the midfielder, the full-back, and the young talent all scored with composure for PSG to seal a 4-1 shootout win.
Now 14-time champions Paris Saint-Germain, who met last season's Ligue 1 second-placed team Marseille after achieving a league and cup double, have now lifted this trophy for the 12th time in the last thirteen seasons.