Modric arrives on a five-year deal, and will wear the number 19 shirt at Santiago Bernabeu, as the number 14 he wore at Spurs is already taken by Xabi Alonso.

The Croatian international played no part in the north Londoners' Premier League campaign as the two clubs finalised negotiations for the deal, which also includes a long-term 'footballing partnership'.

"I'm very happy," Modric said of his move.

"It's an honour to be at the biggest club in the world. I want to start training and playing for Real Madrid.

"I look forward to playing with the team. This is my biggest challenge as a footballer and I am sure that I will accomplish my objectives.

"My challenge is to earn a place in the team, and for that you must work hard. It's going to be difficult, but I'm ready. My challenge is to win titles and trophies with Real Madrid.

"I have trained, I have worked hard and I have played 25 minutes with Croatia. I hope that I only need a couple of games to be fit and to reach the highest level.

"I have everything that I want. Now i just want to enjoy my football, improve my qualities and help the team win everything."

Meanwhile, Real Madrid director of football Emilio Butragueno believes that Modric will play an important part in his club's quest for glory this season.

"With your talent and quality, you will help us achieve our goals," the former Spain international told Modric at his unveiling.

"For me it is a true pleasure to welcome Luka Modric. This is going to be your home for the next five seasons."

Butragueno also dismissed suggestions that Jose Mourinho's side's poor start to their La Liga campaign was down to the drawn-out nature of the 26-year-old's move.

"We would have liked to close the deal before, but it was not to be. The recent results have not had anything to do with it," he said.

Modric made 160 appearances for Tottenham, scoring 17 goals after joining from Dinamo Zagreb in the summer of 2008.