PSG has now won the prestigious cup on fourteen separate occasions.
The Parisian giants required a stoppage-time leveler followed by a perfect spot-kick decider to get past Marseille in Kuwait and capture a fourth straight French Super Cup title.
The European champions seemed to be coasting towards a straightforward win in the match featuring the French league winners and the Coupe de France holders after Ousmane Dembele found the scoring in the opening stages.
Yet, Marseille struck two times late to take a surprise advantage. Initially, Mason Greenwood converted from the penalty spot, before the defender unfortunately turned the ball into his own net for an own-goal.
In a remarkable turn of events, Goncalo Ramos snatched a vital leveler in the dying moments to force the contest into a penalty shootout. The Parisian shot-stopper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Goncalo Ramos, the midfielder, the full-back, and Desire Doue all converted successfully for PSG to seal a 4-1 penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a league and cup double, have now lifted this trophy for the 12th time in the last thirteen seasons.