PSG has now claimed the season-opening cup on 14 separate occasions.
The Parisian giants needed a stoppage-time equaliser followed by a successful penalty shootout to get past Marseille in Kuwait and capture a fourth straight Trophee des Champions victory.
The Champions League holders seemed to be coasting towards a straightforward win in the match featuring the French league winners and the French Cup holders after the French winger found the net in the opening stages.
However, the southern French side struck two times in the closing moments to take a surprise lead. First, the English forward scored from the penalty spot, before Willian Pacho inadvertently directed the ball into his own net for an own goal.
In a breathtaking turn of events, Goncalo Ramos snatched a crucial equaliser in the final seconds to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then stood as the hero, saving decisive kicks from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, Vitinha, Nuno Mendes, and the young talent all converted with composure for PSG to complete a 4-1 penalty victory.
The record champions Paris Saint-Germain, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this competition for the twelfth time in the last 13 years.
