It is understood to be the first time Macbeth has been performed by a Scottish actor and company in the Big Apple's most famous theatrical location.
The acclaimed show, debuted at Glasgow's Tramway, is to be staged on the most famous theatrical address in New York this year, in a run lasting from April to June.
Based on William Shakespeare's play, the NTS production is performed entirely by Cumming and is directed by the Black Watch director John Tiffany with Andrew Goldberg.
Macbeth will open at the Ethel Barrymore Theatre on April 7 to the public, with the all-important US press performance on April 21.
Ken Davenport, an independent New York producer, will present the production for 73 performances. Neil Murray, the executive producer at the National Theatre of Scotland, said: "We are thrilled that a leading New York commercial producer is taking on our acclaimed production of Macbeth, featuring Alan Cumming's stunning performance."
The production is set in a psychiatric unit and centres on a patient who is reliving the story of Macbeth.
Cumming has already won acclaim for his performances on Broadway.
He won a Tony Award for his performance in Cabaret in 1998 as well as awards for his 2001 Broadway production of Design for Living by Noël Coward.
Cumming began his theatre career in Scotland, performing in seasons with the Royal Lyceum Edinburgh, The Tron Glasgow and tours with Borderline, Theatre Workshop and Glasgow Citizens' TAG.
Tiffany and Cumming originally worked together on Euripides's The Bacchae in 2007.