Theatre fans will be able to sign up for priority booking for Hamilton The Musical in London from midday on Monday.
The Broadway show, which won 11 Tony Awards on Sunday evening including best musical, will premiere at the Victoria Palace Theatre in London in October 2017.
Tickets will not go on sale until November 2016, but theatre-goers will be able to register their interest and put their name down for priority booking at the website hamiltonthemusical.co.uk from 12pm on Monday.
The critically-acclaimed musical tells the life story of American Founding Father Alexander Hamilton, and has been a Broadway sensation.
Rapper Lin-Manuel Miranda, who wrote and starred in the show, said: "The support Hamilton has received from our British fans has been incredible - I have been reminded of their love, which is just as our King George would want it to be!
"I'm thrilled the show will be shared with UK audiences starting in the fall of 2017 at the beautiful Victoria Palace Theatre."
The US production is sold out for the rest of the year, and tickets online have been selling for thousands of pounds.
Boosting the production's already very high profile, Sunday's Tony Awards ceremony saw Hamilton pick up 11 gongs after scooping 16 nominations overall.
In a pre-recorded video message, US president Barack Obama said Hamilton was "not only a smash hit but a civics lesson our kids can't get enough of", while rapper Common described the show as a "cultural phenomenon".
In the wake of the deadly mass shooting in Florida, the cast of Hamilton opted to perform without their Revolutionary War muskets at the awards.
Lin-Manuel said the shooting was "heavy in my heart and heavy in my mind".
Hamilton will be the first show at the Victoria Palace Theatre when it re-opens after undergoing a multi-million pound refurbishment.
Producer Sir Cameron Mackintosh, who is bringing the show to the West End, said: "Just occasionally in life the stars align as they have now, and I have the perfect theatre available for one of the most brilliant, original and entertaining musicals I have ever seen.
"The moment I saw Lin Manuel's remarkable Hamilton I knew that this was a musical with a phenomenal story and score which will be performed somewhere in the world as long as people want to go to the theatre.
"To be working with my friend Jeffrey Seller again is an added bonus. My major redevelopment of the Victoria Palace will bring new life to a much loved building and I have no doubt Hamilton will do the same for the musical theatre."
Co-producer Jeffrey said: "Hamilton is pure joy and I can't wait to share it with London audiences."
The musical is based on Ron Chernow's biography of Hamilton, an immigrant from the West Indies who was George Washington's aide and helped shape the US constitution.