The singer made the decision so he can be with his son who is currently undergoing chemotherapy.
Beautiful - The Carole King Musical will be staged in London's West End in 2015.
The popular Broadway musical will move to UK at the Aldwych Theatre from February, with bookings opening today (September 5). Previews will begin on February 10, with bookings currently running until June 13.
The production is based on the early life and career of singer-songwriter King, and the novel Beautiful by Douglas McGrath.
King said of the show: "A few years ago I went to an early reading of a new musical about my life. Though some scenes about my younger years were very emotional for me, I could tell it was going to be a good show.
"I didn't go to the opening on Broadway, but when I finally worked up the courage to see it, I loved everything about Beautiful! This show is an honest portrayal of my early life with Gerry Goffin and our friendship with our competitors Barry Mann and Cynthia Weil.
"It captures the essence of my emergence as a singer and my growth as a woman. I love that the next chapter of the Beautiful story is taking place in London's West End. I have so many good friends in London and warm memories of good times there. I can't wait to re-visit!"
The musical includes such classic songs as 'Will You Love Me Tomorrow', 'Up on the Roof', 'Locomotion', 'One Fine Day', 'You've Got a Friend', 'On Broadway' and '(You Make Me Feel Like) A Natural Woman'.
The musical continues at the Stephen Sondheim Theatre on Broadway after opening in January this year, and will launch a US tour in September 2015.
Watch Carole King performing 'You've Got A Friend' live below: