The Voice UK presenter, 40, and Busted singer, 33, welcomed daughter Trixie Grace on Wednesday 4 May.
The couple confirmed the news on Sunday 8 May, with Emma thanking fans for their well wishes and reveling in the fact her daughter was born on what has become known as 'Star Wars Day'.
Matt explained how much he was loving celebrating his 33rd birthday as a dad-of-three.
The couple are also parents to six-year-old Isabelle and four-year-old Ace.
Earlier this year Emma told The Sun that Isabelle and Ace were very excited about welcoming a younger sibling.
“I think Isabelle will be like a little mum when the new baby comes," she said. "Ace is looking forward to it, but I think he probably doesn’t realise what it will be like until he or she actually arrives."