The White Hart Lane outfit paid the Argentine defender's 8 million pound buyout clause, with the towering center back brought in as a replacement for Michael Dawson
The six-foot-five center back moves to White Hart Lane in an 8 million pound deal, signing a four-year contract. He becomes Spurs' fifth signing of the summer after Michel Vorm, Ben Davies, Eric Dier and DeAndre Yedlin.
New boss Mauricio Pochettino highlighted defense as an area that needed reinforcement upon his arrival at the club, and opted to sign Fazio after a deal for Villarreal's Mateo Musacchio stalled.
Fazio's arrival follows the departure of Michael Dawson, with Hull City having completed the 30-year-old's signature on a three-year contract on Tuesday.
The 27-year-old moved to Sevilla in 2007 and has gone on to make over 200 appearances for the club, notably excelling last season as Los Rojiblancos won the Europa League.