The "Ocean's Eleven" actor said photographers from Voici magazine "scaled our fence, climbed our tree and illegally took pictures of our infants inside our home."
Voici on Friday published grainy photos of Amal and George Clooney , dressed in swim wear, each carrying one of the babies in their arms. They appear to be walking in a garden in what the magazine said was the Clooneys' villa near Lake Como in Italy.
Voici magazine did not immediately respond to requests for comment.
The babies are their first children for the couple, who married in Venice, Italy in 2014 in a big celebrity ceremony but who have tried to keep their personal lives private since then.