PSG has now secured the prestigious trophy on 14 separate times.
Paris Saint-Germain needed a dramatic 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 victory.
The European champions appeared to be coasting towards a straightforward win in the showdown featuring the French league champions and the Coupe de France winners after the French winger opened the net in the opening stages.
However, the southern French side struck twice late to take a surprise advantage. First, Mason Greenwood converted from the penalty spot, before the defender unfortunately directed the ball into his own net for an own-goal.
In a breathtaking turn of fortune, Goncalo Ramos snatched a crucial leveler in the final seconds to send the contest into a penalty shootout. PSG goalkeeper Chevalier then emerged as the hero, saving crucial attempts from O'Riley and Hamed Traore.
In the shootout, Ramos, Vitinha, the full-back, and Desire Doue all converted with composure for Paris Saint-Germain to seal a 4-1 shootout win.
The record winners Paris Saint-Germain, who faced last season's Ligue 1 second-placed team Marseille after completing a domestic double, have now lifted this competition for the twelfth time in the past 13 years.