More from: MoMA to demolish American Folk Art Museum
The French architect has been chosen to design a new 60& storey tower in Manhattan's Midtown, in what has been billed as one of the world's most high-profile projects.
The space stands immediately to the west of the museum, and was previously owned by the historic City Athletic Club, which was closed in 2002 due to bankruptcy.
It is thought that Nouvel will be teaming up with developer Hines Interests, who in turn will be in partnership with Whitehall Street - part of the Goldman Sachs Group.
The extension will be Nouvel's third, and biggest, building in New York. His first was 40 Mercer Street in SoHo, which is close to completion, and his second - a 20-storey project on 11th Avenue - opened earlier in the year.