He said the man was "further arrested on suspicion of sexual offences in connection with further allegations made to Operation Yewtree".
In November Lee Travis denied any wrongdoing and said he did not want his name associated with "bloody evil" child abuse.
Speaking outside his home in Leighton Buzzard at the time, he said: "The point I want to make here is that none of the things I've been talking to the police about, or have talked to them about, is to do with children."