The Parisian club has now won the prestigious cup on 14 separate occasions.
Paris Saint-Germain required a stoppage-time leveler followed by a perfect spot-kick decider to get past their arch-rivals in the Gulf and secure a fourth straight Trophee des Champions title.
The European champions appeared to be sailing towards a comfortable win in the showdown featuring the Ligue 1 champions and the French Cup winners after the French winger found the net early on.
Yet, the southern French side struck two times late to seize a shock lead. First, the English forward scored from the penalty spot, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking twist of fortune, Goncalo Ramos snatched a vital leveler in the dying seconds to force the match into a deciding shootout. PSG goalkeeper Lucas Chevalier then emerged as the hero, stopping crucial attempts from Matt O'Riley and Hamed Traore.
In the shootout, Goncalo Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to complete a 4-1 shootout victory.
Now 14-time winners PSG, who met last season's Ligue 1 runners-up Olympique de Marseille after achieving a domestic double, have now won this competition for the 12th time in the last 13 seasons.