Cole announced the news on her Instagram account on Saturday night by posting an image of Payne holding the baby to his chest.
The birth of their son turned out to be more special as it happened just a few days before Mother's Day.
Natalie Portman welcomes second child, a baby girl
"On Wednesday March 22, Liam and I became parents to an incredibly beautiful, healthy baby boy, weighing 7lb 9 (3.43 kg) and looking like a dream," the former The X Factor judge wrote.
"Although he still doesn't have a name he is already stealing hearts. We are all madly in love and overwhelmingly happy with our little arrival. Happy Mother's Day to all the mothers around the world. A day that now has a different meaning to me forever," she added.
https://www.instagram.com/p/BSEw6PMhbx6/?taken-by=cherylofficial
Payne also shared an emotional post and described fatherhood as "a moment that I will never forget for the rest of my life and my favourite memory I have so far".
He included in the picture caption: "My close friends and family know there are very few times when I'm left speechless..." the One Direction vocalist captioned the image.
https://www.instagram.com/p/BSEw6ARB_Ka/?taken-by=liampayne
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