Last season's Ligue 1 runners-up have announced that the teenage midfielder, who has already been capped by France at Under-21 level, has signed a five-year contract
The 19-year-old established himself as one of the most promising young midfielders in Ligue 1 last season and Vadim Vasilyev is in no doubt that Les Rouges et Blancs have signed a player of enormous promise.
"We are delighted to be able to attract talented young French players with high potential like Tiemoue Bakayoko," the Monaco vice-president told the club's official website.
"He is part of our development and our strategy focused on building for the long term."
Meanwhile, Bakayoko, who has penned a five-year contract with Monaco, believes that he has chosen the perfect club with which to realise his potential.
"This is a first milestone in my career," the France Under-21 international enthused.
"I am proud to sign for AS Monaco, a club that's on the up. I'm grateful to the club's board for showing faith in me."