Though the pair have been busy attending events such as the World Music Awards in Monaco and the amfAR Aids benefit in Cannes, they've also been taking their adorable two-year-olds along with them as much as they can.
And so it was on Sunday as the couple went to lunch on design duo Dolce & Gabbana's yacht.
Little Max dragged a multi-coloured toy caterpillar along with him as he boarded the luxury boat with his parents to meet the famous designers.
The family have spent the week visiting those A-list friends who've also chosen to escape the Cannes crowds on land by lodging at sea.
They have been staying on their friend designer Roberto Cavalli's £20 million boat over the last few days.
The vessel has allowed the young family to enjoy far more peace and privacy during their trip than they would have been able to at a luxury hotel.