The highly-rated England Under 21 midfielder quit Goodison Park on a free transfer after taking advantage of a loophole in his contract.
And Newcastle have pounced to bring him to St James' Park on a four-year deal.
He said: 'It's a brilliant move for me. Now that the deal is done I just can't wait to get started.
New home: Gosling at Newcastle's training ground after signing from Everton
'I've played at St. James' Park before and know all about the amazing atmosphere. Playing there in a black and white shirt is something I've thought about already and it will be a great day when I finally get to walk out in front of 50,000 people.
New arrival: Gosling is Toon boss Chris Hughton's second summer signing
'The gaffer Chris Hughton and all of the lads have been great with me and made me feel really welcome since I arrived and hopefully I can repay the faith that they've shown in me.'
Hughton added: 'We're delighted to have signed Dan. He's the right age and the profile that he has is what makes it such an appealing capture for us.
'He's young but has Premier League experience and he's someone who can continue to develop his game.
'We see him as a high-energy player and a player that can play from box-to-box, but he's also a young player with experience, so he won't be phased by what is ahead of him.'
Gosling, who won his Premier League tribunal against Everton to secure his release after they failed to make a written contract offer, is currently out with a serious knee injury.
He is expected to be back in action by December and is Newcastle's second summer signing following the recent arrival of Nottingham Forest midfielder James Perch.
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