The pair join already announced judges Will.i.am and Jessie J on the singing competition, which has been a big hit in the US.
The show sees hopefuls performing 'blind' auditions, so the coaches can judge the acts on their voice alone.
Tom said: 'I'm excited about The Voice, and thrilled to be participating as a coach. This is a strong show; it's all about talent - but it's also exciting, competitive and compelling television.
'I've been blessed over the years to share the stage with some of the world's finest artists, and I look forward to being part of the team that discovers a great, new, genuine talent.'
Danny added: 'I'm a massive fan of The Voice, so to be involved as a coach is amazing. This is a show unlike any other because it puts vocal ability first above all else. I look forward to putting my team together and battling it out with the other coaches to see who wins this unique, credible competition. I'm in it to win it!'
The Voice UK is set to hit screens in the Spring and will be presented by Holly Willoughby and Reggie Yates.