The Fox News presenter had praised the group's new album The Resistance on The Glenn Beck Programme before suggesting that a band representative had emailed to complain.
President of Beck's Mercury Radio Arts company Christopher Balfe said: "After raving about Muse for four minutes, Glenn made a joke about their representatives emailing him to stop.
"While it is entirely possible that Muse does not like having Glenn as a fan, he was making a joke and their representatives never reached out to him."
Muse have not publicly responded to Beck's comments.
