The controversial Christian group picketed the band's gig in Missouri, USA yesterday (March 11), with producer Nigel Godrich later joking that the protest was the "highlight of the tour".
In statement on their official site, the fundamentalist organisation described the Thom Yorke-fronted group as "freak monkeys with mediocre tunes".
They added: "You try to get the people to look at the nonsense and not the Wrath of God that abides upon them. 'Look at the circus monkey over there and the fluffy setting, blah blah...'
"Meanwhile, God is undoing this nation and effecting all of your lives, with the moth that quietly eats the very fabric of your national garment. Radiohead is just such an event."
The Foo Fighters serenaded the anti-gay Westboro Baptist Church with a camp rendition of a song that dealt with "man-muffins" back in September.
> Radiohead perform new song 'Skirting on the Surface' - video
Watch the music video for Radiohead's 'Lotus Flower' below: