The Oxford band are said to have taken legal action over similarities between their song and Del Rey's "Get Free".
The statement also denied that the band was seeking 100 percent of publishing revenue, saying "To set the record straight, no lawsuit has been issued and Radiohead have not said they 'will only accept 100%' of the publishing of "Get Free".
Making her original claim on Sunday, Del Rey tweeted: "It's true about the lawsuit".
Days ago, Lana Del Rey shared a social media post about a supposed lawsuit against her - particularly "Get Free", off her album Lust For Life.
"Although I know my song wasn't inspired by Creep, Radiohead feel it was and want 100% of the publishing - I offered up to 40 over the last few months but they will only accept 100".
The publisher's request that "all writers of "Creep" be acknowledged in the "Get Free" credits is significant.
Radiohead themselves were successfully sued over Creep's resemblance to The Hollies' song The Air That I Breathe. Hammond and Hazlewood were eventually credited as the song's co-writers.
And in a case that struck fear among many songwriters, a jury in 2015 awarded more than $7 million to the estate of Marvin Gaye after deciding that Robin Thicke and Pharrell Williams" 2013 smash hit "Blurred Lines" lifted from the late soul legend's "Got to Give It Up'.