"@candywarner1 was absolutely amazing. Mum and Bub doing very well and her big sisters are over the moon. #prouddad"
The family also posted some sweet shots to their Instagram stories, with Candice lightly poking fun at her hubby for falling asleep in the hospital.
"It's hard work having a baby darling," Candice wrote over a picture of David fast asleep by her bedside.
The family are currently in London to watch David play in the cricket world cup. The occasion marked the first time David was allowed to play for the Australian cricket team since the ball tampering scandal in South Africa in 2018.