PSG won the French equivalent of the Community Shield for the ninth time in 10 seasons, after losing to Lille last year
Galtier replaced Mauricio Pochettino at the end of last season and enjoyed a comfortable win in Tel Aviv, Israel.
Neymar set up Lionel Messi's opener before curling in a free-kick.
Sergio Ramos made it three with a backheel before Neymar was fouled by Jean-Charles Castelletto, who was sent off, and scored the penalty.
Ligue 1 champions PSG have now won nine of the past 10 Trophees des Champions, the French equivalent of the Community Shield. Nantes won the French Cup to qualify for the match.
-- Courtesy of BBC Sport