The United States international looked like he was heading for Liverpool earlier on Friday, but has now moved to White Hart Lane.
Reports claim Dempsey has joined Spurs for a reported fee of £6million.
Dempsey has signed a three-year contract with the north London club.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.