The 20-year-old has signed a five-year deal with the big-spending Ligue 1 club after opting to buy out his €20 million (£17.1m) release clause at Sevilla and leave Spain
Kondogbia, 20, agreed a five-year deal with Claudio Ranieri's men on Friday after a week of speculation linking him with a move to Stade Louis II.
Sevilla released a statement on Tuesday stating that Kondogbia "was history at the club", with reports tipping Monaco to buy out his €20 million (£17.1m) release clause.
| MONACO LATEST
|5/2||Monaco are 5/2 with Bet365 to win the 2013/14 Ligue 1
The former Lens man had been linked with a number of top European clubs including Real Madrid, Juventus and Arsenal last season and in the summer, but the Ligue 1 side have won the race for the youngster's signature.
Kondogbia made 40 appearances last year for Sevilla, scoring one goal.