Villas-Boas arrived in London on Monday to conclude talks and has now signed a three-year deal with the club.
Villas-Boas told Spurs’ official website: “Tottenham Hotspur is a great club with a strong tradition and fantastic support, both at home and throughout the world.
“I feel privileged to be its coach. For me, this is one of the most exciting coaching positions in the Premier League.
“I have had several discussions with the Chairman and the Board and I share their vision for the future progress of the Club.
“This is a squad any coach would love to work with and together I believe we can bring success in the seasons ahead.”
Villas-Boas will succeed Harry Redknapp, who was sacked by Tottenham last month.