World-record signing Neymar was presented to supporters prior to the match amid a party atmosphere and sat alongside his father.
Adrien Rabiot headed against the woodwork for PSG, before Edinson Cavani scored the opener shortly before half-time, converting Dani Alves' cross.
PSG took their time to put the result beyond doubt, but Javier Pastore's late clincher ensured they joined defending champions Monaco in starting with a victory as Amiens, playing their first-ever Ligue 1 game after winning back-to-back promotions, offered little attacking threat.