The A-list celebrity couple, who have 3-year-old twins, told the magazine in a joint statement that their seven-year marriage was over.
“This was a very difficult decision,” the statement said. “It is a painful time for all involved. And we appreciate the respect of our privacy at this time.”
The couple, both of Puerto Rican descent, married in 2004. They tied the knot less than a week after his divorce with Dayanara Torres was finalized.
It’s Lopez’s third marriage, his second.
The two were reportedly supposed to double date with the Royal couple in Los Angeles last week, but she ended up showing up with her mother, Guadalupe, instead.
She tweeted afterward: "Good Morning Lovers! Had fun with my Mom! The Duke & (Dutchess) were simply charming!"
One of the last images the public has of Anthony and Lopez is from their scintillating performance on American Idol. Marc Anthony sang while she danced salsa seductively in front of him.
Marc Anthony reportedly was against her returning to American Idol, the show which reinvigorated her career after a several year slump. Anthony and Lopez were also supposed to start a reality show called Q'Viva which is billed as American Idol in Latin America.