The 21-year-old has signed a four-year deal with Celtic and is expected to be included in the squad to play Dundee United at Tannadice.
Biton will hook up with compatriot Beram Kayal and Nigeria international Efe Ambrose, who also arrived at Celtic Park from FC Ashdod.
He was unveiled at the club's Lennoxtown training complex, and admitted the chance to play for the club was a dream come true, especially given their Champions League draw against Barcelona, Milan and Ajax.
Biton said: "I don't need something to convince me to join a club the size of Celtic. I want to be the best and my dream is to play for Celtic and have success with Celtic.
"The draw is very tough but in football everything is open. I saw the game against Barcelona last year, it looked impossible but Celtic won.
"I was there on Wednesday night (when Celtic beat Shakhter Karagandy 3-0) and I think anything is possible at Celtic Park.
"Scottish football is very strong, and very tough. Celtic is a big club in Europe.
"I play in central/defensive midfield but I can play in any role in midfield. I will play anywhere the coach asks me to play.
"When somebody comes to Celtic they expect to have to prove themselves, there is a lot of competition but I believe in myself. I hope to be the best with the club, the team, the fans and my team mates.
"When you come to a club like Celtic you expect to win leagues, cups and to go far in the Champions League. I am at Celtic, one of the best clubs in Europe. I will do my best for them."