Over the weekend, a rep for the couple confirmed they had "amicably" separated and would continue to remain close friends and co-parent their son Bing in harmony.
Matt has now confirmed this, tweeting: "Love all of you guys! We're both very happy, it's for the best. Thanks for your kind words. Now about that new album..."
A rep said: "Kate and Matt have been separated for some time now. Despite this, they remain very close friends and committed co-parents."
The English musician proposed to Kate, the daughter of actress Goldie Hawn, back in 2011.
Their son Bingham Hawn Bellamy was born a few months later.
Despite splitting, they made a happy couple as they attended a glitzy bash in Hollywood together on 21 November, where they posed alongside Kate's mum Goldie Hawn at Goldie's inaugural Love In For Kids event in LA.
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