Clooney's wife, Amal, is a human rights lawyer and deals in cases relating to terrorism. The actor states that this, alongside his high profile, could amount to "real-world consequences" for their children.
Clooney was reacting to The Daily Mail putting pictures of actress Billy Lourd's children on their site. They then subsequently removed them.
The Hollywood actor accepted the fact that being the subject of "intrusive photos" comes with the territory, but that his children "have made no such commitment".
The photographing of celebrity's children has long since been an issue around Hollywood. In 2013, Halle Berry backed a bill that passed in the state of California, putting restrictions on taking photos without parental consent.