Roberts, who came under fire after asking Trump a question after the president pointedly rejected ones from CNN'sJim Acosta and MSNBC's Kristin Welker, said descriptions of both networks as "fake news" were "unfair".
After Trump finished an answer, reporters in the audience raised their hands to ask another question, including Acosta, who interjected to ask a question since Trump criticized CNN.
Citing his decision to expel 60 Russian diplomats as a favor to Britain over its claims of an alleged nerve agent attack in Salisbury in March, Trump said that his tough stance on Russia has gone largely unappreciated because "the fake news doesn't want to talk about it".
Acosta: "But we're a real network too..."
Trump also derided two other news outlets, NBC and CNN, during the joint press conference.
In the article, Trump criticized May's handling of Brexit, saying that she would likely "kill" any trade deals between the us and the United Kingdom because she didn't take his advice. "To issue a blanket condemnation of the network as "fake news" is ... unfair".
He directly condemned the president's use of the term "fake news" to inaccurately denigrate coverage he doesn't like.
The Sun had already published audio recordings of key parts of the interview.
Welker was referring to that interview when she said Trump had criticized May "on her own soil", but the Sun had noted the interview was recorded before the U.S. president arrived in the UK. Lesson for the kids out there: "no one should ever try to do the right thing with the expectation that it will ever be reciprocated".
Roberts said in a statement that the reason he asked a question was that "it became clear that the president wasn't going to entertain a question from [Acosta]".
Trump called it dishonest reporting. "Of course, it happens to be NBC, which is possibly worse than CNN". He continued to make pleas for a question as Trump called on John Roberts of Fox News. "I also use to work at CNN". She is honest as the day is long.
"I like you better without the hat", Trump said.
"Can I ask you a question?".
She said the pro-Brexit Sun, and Trump, succeeded in planting more doubt about May's "soft exit" plans for leaving the European Union.