"While the two of us have come to the mutual decision that we will no longer be partners in marriage, we remain partners in parenthood and are committed to jointly raising our three sons in a happy and healthy environment. To that end, we respectfully request privacy from the media during this time," the statement read.
Stefani, 45, and Rossdale, 49, wed in 2002. They have three sons together, Kingston, 9, Zuma, 6, and Apollo, 1.
Earlier this year, the No Doubt singer opened up about her marriage to the Bush singer to Cosmopolitan magazine.
"We go through so much together — it's a miracle that we could stay together this long," she said. "It's good to have those days when we both do our own things. I think that's what keeps relationships going, when both people can be themselves and have their own individuality. That's especially important for women. It's hard to find time for yourself."