Jamie Bell and Evan Rachel Wood got married in October 2012 and had a son in July 2013.
A couple’s representative told the magazine: “This is a mutual decision and the two remain close friends.
“They both love and respect one another and will of course remain committed to co-parenting their son.”
Evan Rachel Wood also recently wrote: “Twitter break for a while…to be continued. Don’t punish people for things they can’t control.”
Earlier this month, she tweeted to her husband: “I love you too. Always have. Always will @1jamiebell.”
Jamie Bell, 28, has since deleted his account.
Last year the actor tweeted praising his “warrior” wife for giving birth to their son so “naturally and peacefully”.
They have kept him out of the spotlight and have never told journalists his name.
Jamie Bell became famous for his role in Billy Elliot and is set to film The Fantastic Four.
The couple first got together in 2005 after meeting on the set of the music video for Green Day’s Wake Me Up When September Ends.
They split up after a year and Evan Rachel Wood went on to have a relationship with Marilyn Manson.
Evan Rachel Wood got engaged to Marilyn Manson, but when they broke up, she got back together with Jamie Bell.
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