The 23-year-old Frenchman, who began his senior career with Auxerre, spent last season on loan with Belgian Pro League side Zulte Waregem, making 46 appearances and scoring two goals.
He has signed a five-year deal with Monaco and officially joins the club on July 1.
Meite follows goalkeeper Diego Benaglio in having signed for Leonardo Jardim’s charges this week, as Nabil Dirar leaves for Fenerbahce. Paul Nardi has, meanwhile, signed for Cercle de Bruges on loan for the season after spending the second half of the 2016-17 campaign at the Belgian side.
Speaking to the cub’s official website, Meite said: “It’s an honour to sign for this great club. There are very good working facilities here.
“I followed the team’s results last year. The team has solidarity, technique and lots of pace.
“I can’t wait to start training, learning and developing under coach Leonardo Jardim’s orders. I’ll be doing my best to show the club management that they were right to give me my chance.”
Vice-President & CEO Vadim Vasilyev added: “We are delighted to welcome Soualiho Meite to AS Monaco.
“He made his Ligue 1 debut very early, before really breaking through last season Zulte Waregem, and fits perfectly into our strategy of signing talented young players.
“We have a lot of faith in him, and are confident he has all the qualities needed to succeed in our project.”