Catherine Zeta-Jones says Michael Douglas has warned their kids about acting

The star couple, who have been married since 2000, are parents to 20-year-old son Dylan and 18-year-old daughter Carys. 

Talking to actor Drew Barrymore on her show, Zeta-Jones said Douglas, 76, believes that it is difficult for newcomers, who have star parents, to make a mark in the business, reported Entertainment Tonight. 

''Michael has said what it is like to be ‘the daughter of’ in the same industry, which I guess is similar if you are in business,'' Zeta-Jones, 51, said. 

''If you are successful in business, it’s not an easy way in. In fact, one has to prove oneself more,'' she added. 

However, both Dylan and Carys are still passionate about acting and want to nonetheless pursue it, the actor said. 

Zeta currently features in the second season of Fox's serial killer drama ''Prodigal Son''.