The Argentine, 42, left Southampton on Tuesday to sign a five-year contract at White Hart Lane.
Levy believes that Pochettino will fit in at the Premier League club thanks to his brand of "high-energy" football and "winning mentality".
"In Mauricio I believe we have a head coach who, with his high energy, attacking football, will embrace the style of play we associate with our club," Levy told Tottenham's official website.
"He has a proven ability to develop each player as an individual, whilst building great team spirit and a winning mentality. We have a talented squad that Mauricio is excited to be coaching next season."
Pochettino is the 10th manager that Levy has appointed since he became Spurs chairman in 2001.