The youngster has recently been linked with the likes of Arsenal, Chelsea, Inter Milan and Juventus.
Sky Sports reports that City have managed to lure the 16-year-old to the Etihad Stadium.
Ntcham have reportedly been in Manchester on Monday to hold talks with City over a move.
City will have to pay Le Havre a compensation fee for the youngster.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.