Naomi, 47, and Liev, 47, have been together since 2005, they never married but they welcomed two sons, Alexander, nine, and Samuel, seven.
The Aussie actress opened up to Los Angeles Confidential back in February about struggles in relationships.
“Relationships are hard whether you’re famous or not. I don’t know anyone who doesn’t have to work on it,” she admitted.
“Being an actor doesn’t change anything.”
The couple have starred in three films together, including 2008’s The Painted Veil, 2013’s Movie 43, and The Bleeder which is due for release later this year.