The DJ, who was today suspended by Magic AM today (November 16), told reporters that he could not respond directly to the charges.
Travis said: "This is nothing to do with kids, all right? That's the first thing. Because that to me is the most important thing in the world and I do not wish to have my name sullied around something that bloody evil, to be honest.
"The second thing I want is to say, yes, there's a complete denial there, but there's nothing else I can tell you because otherwise I might be stepping on the police's feet and I don't want to do that because it might affect their investigations."
He added: "It's just too easy to make allegations. I'm an easy target.
"I am and always have been completely abhorred by child molestation. Whatever happened to innocent until proven guilty?"
Travis was arrested this week as part of investigations following the exposure of alleged abuse by Jimmy Savile.
Police said that the allegations against him were not specifically related to Savile, but rather classed under the strand of the investigation marked "others".
In the spate of allegations made in the wake of Savile's abuse being exposed, ex-Sky presenter Vivien Creegor, 55, claimed that Travis had molested her breasts during a Radio 4 broadcast, while another woman claimed he had put his hand up her skirt.