PSG has now won the season-opening cup on 14 separate times.
The Parisian giants needed a dramatic equaliser followed by a perfect spot-kick decider to get past Marseille in Kuwait and secure a fourth straight French Super Cup victory.
The Champions League holders appeared to be sailing towards a straightforward triumph in the match featuring the Ligue 1 winners and the Coupe de France holders after Ousmane Dembele opened the scoring in the opening stages.
However, the southern French side struck twice late to seize a shock advantage. Initially, Mason Greenwood converted from the spot-kick, before Willian Pacho unfortunately turned the ball into his own net for an own goal.
In a remarkable twist of fortune, the Portuguese striker grabbed a vital equaliser in the dying moments to send the match into a penalty shootout. PSG goalkeeper Chevalier then emerged as the key figure, stopping decisive attempts from Matt O'Riley and Hamed Traore.
From the spot, Ramos, the midfielder, Nuno Mendes, and the young talent all converted successfully for PSG to complete a convincing penalty win.
The record winners PSG, who faced last season's Ligue 1 runners-up Olympique de Marseille after completing a domestic double, have now won this trophy for the twelfth time in the last 13 years.