The jibe was one of many thrown by both boxers during a heated media event, which lasted around 50 minutes.
Fury had arrived with five cheerleaders but his entourage had barely taken their seats before the champion's face-to-face meeting with Klitschko descended into a swearing match and accusations of cheating.
Klistchko is still struggling to comprehend how he gave up his heavyweight titles so meekly to a man he regards as an 'embarrassment' to the sport.
When they were reunited, the former champion got his attack in early, delivering an opening statement that started calmly and ended with a foul-mouthed put-down.
Taking the microphone, he said: "This is my first time in a long time fighting on British soil. I have gone through a lot of emotions in the last months and trying to understand things.
"I made a mistake in the fight and that cost me the titles. Of course it is not so easy to fight a challenger with great skills, that Fury obviously has. Otherwise he would not take my titles.
"Aside from that, many people are looking forward to having a champion that represents the sport in a good way and someone I can look up to as well and I say, 'I am ok with that'. But I am not ok with that, what comes out of his mouth."
Klistchko continued: "He said a lot. To say homosexuals belong in jail, that women belong on their back. That is how he sees Elton John and the Queen. To people who think the same way and Tyson, I say, **** off. Thank you."
That opened the floodgates to the kind of nonsense that comes with a Fury press conference. He had entered with more restraint than the first fight, ditching the Batman costume and entering instead with five cheerleaders with the name TYSON spelled out across their backsides.
After Klitschko's attack, Fury, the WBA and WBO champion, said: "Wlad found his b******* and swore.
"Listen to him, 'Thanks for coming, anyone want a **** job. P****.
"Hall of fame fighter? He is a hall of dog**** champion."
He continued: "He never fought men who turned up to win. He couldn't get away with his cheating with the ring, with the gloves. So many things to win. When it is fair and square he can't win."
When the fighters found time to concentrate on their upcoming bout, both promised to knock the other out.
Fury pledged to floor Klitschko inside the first round of the contest in July, while the Ukrainian did not specify how long it would take to win back the belts he lost in November.
"I will knock Tyson Fury out," he said. "I will not lose my words here. I will knock Tyson Fury out. Period."
"I expect that most of the fans are going to be for Tyson Fury. I'm actually very happy that this fight, this revenge is going to be staged here rather than in Germany, Ukraine or the US.
"I am going to have more motivation than I have ever had, especially to fight at the home base of my opponent."
Fury rubbished the notion that Klitschko would be able to transform his boxing style at the age of 40.
He said: "Did Larry Holmes change his style at 36 or 37 when he lost his titles to Michael Spinks? He didn't change his style because he couldn't. If the great Larry Holmes can't do it, how can the great Klitschko do it?
"Wladimir is not a fighter. I'll tell you all once again he's a manufactured, built-up boxer. He isn't a natural fighting man like me. He can't change his style. If he wants to have a dogfight in the middle of the ring he's asking the right man."
A question, from the floor from a woman purporting to be from Irish radio, raised accusations from the first fight about Klitschko's alleged practises regarding the canvas and hand-wraps.
Klitschko called it a 'nonsense question', Fury praised it. It was that kind of gathering.
