Writing on his Twitter page, he said: "So happy! Just had a baby boy, Bingham 'Bing' Hawn Bellamy. Mum and baby are strong and healthy. Mum was a warrior, Bing popped out after 4.5 hours of intense pushing!"
Later Bellamy explained the origin of the baby's names, writing: "For those wondering, Bingham is my mum's maiden name and Bing Russell was Kurt's dad. Family connections all round!"The tot's second name is also the surname of Kate's mom, Goldie Hawn.
Following his birth, the couple asked for "celebration trees" to be planted for their son, just as they did at Kate's baby shower.
Matt and Kate - who has a seven-year-old son, Ryder, with ex-husband Chris Robinson - plan to spend the next few weeks at the rocker's London home while Muse record a new album.
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