The presenter posted a picture of herself with her newborn in a sling on her Instagram account on Saturday morning.
Laura wrote: “Thanks for all the kind messages at this time. We are in love x.”
The couple have not yet shared the name of their new arrival.
Laura previously revealed she and Love Island narrator Iain were expecting a baby girl in her new book No One Can Change Your Life Except For You.
She wrote: “As I finish this book, it doesn’t end at chapter nine, there’s a new chapter coming into my life – in the form of a baby girl currently growing inside me and that scares the s*** out of me.
“I once swallowed a bug and freaked out there was a live bug inside me. A live human is a whole new level of freaking out but I am excited because there’s a lot of good in the world, there’s a lot of potential.”
Laura added: “I want to bring up my child knowing that she has her own story to write. She will be supported and loved. But she is the heroine of her own life, no-one else.”