American singer Lana Del Rey performs on stage. Photo / Getty
It is one of the most iconic songs of all time and shot Radiohead to worldwide fame.
But it has been claimed that the alternative rock band is considering suing Lana Del Rey for copyright infringement over her track Get Free, which they reportedly believe shares strong similarities with their 1992 hit Creep, according to DailyMail.
Get Free is the final track on Lana's fifth studio album Lust For Life, which topped the charts all over the world, including the UK and US.
A source told the website the band, fronted by Thom Yorke, are in negotiations with Lana Del Rey's team, saying: "Both teams are trying to thrash it out behind the scenes to prevent it from going to court.
"It's understood that Radiohead's team are hoping for the band to either receive compensation or be credited on the list of songwriters to receive royalties."
On Twitter, Del Rey said Radiohead's lawyers "have been relentless".
Currently the writers for Get Free are listed as Lana, Kieron Menzies and Rick Nowels.
A representative for Radiohead declined to comment when approached by MailOnline.
MailOnline has contacted representatives for Lana Del Rey for comment.
Radiohead were famously sued themselves over Creep after listeners noticed striking similarities between the song and The Hollies' 1973 song The Air That I Breathe.
Writers Albert Hammond and Mike Hazlewood were successful in the lawsuit and as a result, Creep now credits them as Creep co-writers, with the pair taking a percentage of royalties.
In 2015, Robin Thicke, TI and Pharrell Williams were sued for copyright infringement for 2013 smash hit Blurred Lines over its similarity to Marvin Gaye's 1977 song Got To Give It Up.
A Los Angeles jury decided they had unfairly taken parts of the track, with Gaye given a songwriters credit and royalties paid to his family.
Back in 2014 Tom Petty and Jeff Lynne were awarded royalties and songwriting credits by Sam Smith over his hit song Stay With Me, over its similarity to I Won't Back Down by Tom Petty and the Heartbreakers.
And in 2016 Ed Sheeran was sued by songwriters Martin Harrington and Thomas Leonard for copyright infringement over similarities to their song Amazing, which was released by Matt Cardle.
The lawsuit was privately settled in April 2017 with no admission of guilt, with Harrington and Leonard given co-writer credits.