Speaking outside his home near Leighton Buzzard, Bedfordshire, the 67-year-old protested his innocence and said he did not want his name associated with "bloody evil" child abuse.
He 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 said: "There's one very important point I want to get across here - when I read the papers this morning I could not believe it.
"It was like, you know, 'DLT caught in Savile probe' and all this.
"I'm going to make one thing extremely clear to you, and I'd be really obliged if you all make sure that this gets into your articles and gets on to the television and you don't leave this bit out - the Savile probe is nothing to do with things I've been talking to the police about.
"So let's get down to brass tacks here - the first thing is I've been talking to the police about sexual... I can't even remember what the word is now - in the old days it was called 'putting your arm around somebody and giving them a cuddle' but nowadays God knows.
"But anyway, I was accused quote of squeezing the boobs of a couple of women.
"So 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.
"I want this completely clear. My name appeared in the paper this morning... alongside Gary Glitter and Jimmy Savile, so that's not on."
He added: "If you'd like to actually put in your papers that Dave Lee Travis categorically denies that there was anything... oh, that's the problem you see, as soon as you deny something, oh, there must be something to deny.
"Yes, there's an ongoing police investigation about me and two grown women, all right? And this has to be completely clear with all of you.
"Any talk about children is, it's just incensing, all right? I am and always have been completely abhorred by anything to do with children and anything to do with child molestation and anything like that.
"I don't really want to be in a headline where people look and see Savile's name and see my name and think 'Oh God, is he at it as well?' Not true, all right? You have a categorical denial about children. That is absolutely set in concrete, I promise you."