A deal had originally been agreed in principle but Liverpool have now announced a deal for the midfielder.
Liverpool have confirmed the signing of midfielder Emre Can from Bayer Leverkusen, for a fee believed to be around £10 million.
A deal was agreed in principle last month for the former Bayern Munich midfielder, who becomes Liverpool's third official signing of the summer following the arrivals of Rickie Lambert and Adam Lallana from Southampton.
Liverpool manager Brendan Rodgers has said he is delighted the midfielder chose the club, and described him as 'an exciting young talent'.
He told the club's official website: ""He has recognised that we are a club that improves and nurtures exciting, ambitious players and I'm looking forward to seeing him take those next steps forward for us.
"We have tracked his progress for some time and I have been impressed with his attitude and qualities when I have seen him play both in the German Bundesliga and the Champions League.
"He has many of the attributes we look for; charisma on the football pitch and courage to want the ball and make things happen."
Can said it was an easy decision for him to join Liverpool and sees his versatility as an advantage given that he can play in central midfield, but also in defence - both centrally and on the left side.
He told LFCTV: "I personally see myself as a central midfielder, that is where I feel most comfortable, but I can also play a variety of other positions. At the end of the day, it's the manager's decision on where to play me.
"I just want to give my best and help the team as much as I can. I believe this season the team finished second in the league, so I want to be a Premier League champion next season."