The former Osbournes star, who is the son of Black Sabbath rocker Ozzy, have named their bundle of joy Andy Rose - revealing that she was born on Saturday 13 June.
Back in February, Jack announced via his Instagram account that he was about to become a father again, posting a snap of Lisa and his daughter Pearl cuddles up - with Lisa’s growing baby bump on full display.
‘Supprise!!!!! #round2 #babyinbound’ Jack captioned the snap.
And it looks as if the happy couple were preparing daughter Pearl for her big sister duties well in advance, with Lisa posting to her blog: ‘She diligently reads her ‘I’m a big sister’ books every night & recites to me plans of bathing, feeding, singing to, and holding the baby.’
When they announced the pregnancy Lisa was already halfway through the nine months, so there wasn’t long for fans to wait.
But things didn’t go altogether smoothly, with Lisa ending up in a car accident in May as she approached her due date.
Luckily, Lisa and her bump were unhurt in the accident, though the now mum of two did have to spend a night in hospital just to make sure.
Congratulations Jack and Lisa!