Music
Rex Features
The band, who last toured the US two years ago, will play the first of eight confirmed shows at the Cruzan Amphitheatre in West Palm Beach, Florida.
After the tour wraps in Dallas on May 16, Radiohead will head to Europe with dates in Dublin, London, Manchester and Berlin.
Venues for a second leg of the US tour have yet to be confirmed but the band will play cities including Chicago, New York, Los Angeles and Vancouver.
In Rainbows was released as a digital download last October before getting a standard release in January.
The LP knocked Leona Lewis' Spirit off the top of the charts and was Radiohead's fifth number one album.
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