"Yes it's false! Of course it's false," she told French television program Grand Journal. She added that it worried her how these rumors "can truly harm my family" and affect her and Depp's two kids, 11-year-old Lily and 9-year-old Jack.

In the statement released to E! News Tuesday, Depp's publicist asked for everyone to "please respect their privacy and, more importantly, the privacy of their children."

The split was first reported by Entertainment Tonight.