The production will open at the Victoria Palace Theatre in November 2017
Tickets for the London production of Hamilton will go on sale in January 2017, with previews due to commence in November 2017.
Priority members will be able to purchase tickets from 16 January, with general on-sale opening on 30 January 2017.
Producer Cameron Mackintosh said today: "We have already started the casting process and are very excited by the tremendous diverse talents that we are already seeing for the production."
Lin-Manuel Miranda's multi award-winning musical, tells the story of Alexander Hamilton, one of the found fathers of America, with a score that blends hip-hop, R&B and traditional musical theatre.
It will run at the Victoria Palace Theatre, which is currently undergoing a major renovation and expansion, following the closure of Billy Elliot earlier this year.