"We have decided to end our marriage," the couple tells People in a joint statement. "This was a very difficult decision. We have come to an amicable conclusion on all matters...It is a painful time for all involved, and we appreciate the respect of our privacy at this time."
Lopez and Anthony have been married since 2004 with two children, 3-year-old twins Max and Emme.
Less than a week after his divorce was finalized from former Miss Universe Dayanara Torres in 2004, Marc Anthony married the 'American Idol' judge in a quiet home wedding at Lopez's Beverly Hills home -- guests thought it was going to be a simple "afternoon party."
Lopez has had a well-publicized dating history. Back in 2001, the singer's marriage to back-up dancer Chris Judd ended after just nine months. She has also dated rap mogul Diddy and actor Ben Affleck -- a relationship that spawned the term 'Bennifer.'