JACK Osbourne has proudly welcomed a baby girl with his wife and revealed her sweet name which is a touching tribute to his dad Ozzy.

The former reality TV star, 40, confirmed the happy news in a post on Instagram.

Man with arm around a smiling pregnant woman in a green dress, standing on a sandy shore by blue water.Jack Osbourne and wife Aree Earhart revealed their pregnancy in DecemberCredit: Brian Roberts NINTCHDBPICT001065881725Jack Osbourne has named his newborn baby after late dad OzzyCredit: Instagram Tribeca Film Festival 2011 Portrait Studio - Day 4Much-loved Ozzy with his son Jack in 2011Credit: Getty

And he revealed her name was Ozzy Matilda Osbourne in a sweet nod to his late father.

Ozzy, who died in July aged 76, had been told he was going to be a grandfather again before his death.

The proud dad has three daughters from his previous marriage – while his and Aree’s firstborn is three-year-old Maple.

Jack previously revealed he and Aree’s tot was giving him hope while grieving for his Black Sabbath rock legend dad Ozzy.

Speaking publicly for the first time about the happy news om December, Jack said it has been the joy his family – including his mum Sharon, 73 – have needed after such a tough year.

In an exclusive interview with The Sun on Sunday he said: “It’s awesome.

“I think it’s been partly a healthy distraction, partly healing – probably in that kind of ‘full cycle’ category, in a weird way.

“It’s very much taken energy out of the grieving side of things and parked in a bit more hopefulness.

“It’s been easy for me – I think it’s been a lot harder for my wife!

“We’re super-excited. It was sort of planned, I should say. It was maybe a little earlier than expected.

“But it’s definitely something that we were wanting to pursue and somehow it happened, miraculously.”

His beloved dad stadium in his hometown of .

At the benefit gig, the acclaimed heavy , which included Geezer Butler, Tony Iommi and Bill Ward.

, 40, first rose to fame in 2002 after starring in the hit series, The Osbournes.

He received worldwide attention for his tenure alongside his family, which included sister , and parents and .

A family of six, including four children of various ages, sit on a couch in a lavish room, smiling and waving.Jack’s family is growing with another baby on the way Ozzy Osbourne in a black suit, sitting in a black chair with a bat-like figure on top, singing into a microphone with his arms outstretched.His dad Ozzy died just 17 days after his farewell gig Back to the Beginning in BirminghamCredit: Ross Halfin