Guests Alec Baldwin, Jane Fonda, Jessica Chastain and Eva Longoria also joined the event's host, The Artist star Berenice Bejo, at the Palais for the opening night.
The members of the Cannes Film Festival jury, headed up by Italian filmmaker Nanni Moretti and including judges Diane Kruger, Jean Paul Gaultier, Ewan McGregor and Alexander Payne, took the stage at the premiere as Moretti gave a warm welcome to all of the festival attendees.
Gossip singer Beth Ditto provided the music by performing a cover of Sir Elton John's Candle in the Wind as a montage of photos of this year's (12) poster girl Marilyn Monroe were shown on the big screen.
Anderson then joined the cast of Moonrise Kingdom to introduce the movie and officially launch the 65th annual film gala.
The romantic comedy is the first of 22 titles in competition for the coveted Palme d'Or prize to be screened at the Cannes Film Festival.