A spokesperson for Theresa May described Trump's actions as "wrong", after a series of other politicians called on a possible visit by the president to the UK to be cancelled.
The statement read: "Britain First seeks to divide communities through their use of hateful narratives which peddle lies and stoke tensions.
"They cause anxiety to law-abiding people. British people overwhelmingly reject the prejudiced rhetoric of the far-right, which is the antithesis of the values that this country represents – decency, tolerance and respect."
Trump shared out three tweets by Jayda Fransen, the deputy leader of the far-right group Britain First.
Fransen as delighted by the coverage, showering the president with praise, but she was one of the few who were happy to see Trump sharing violent videos including one which was captioned "Islamist mob pushes teenage boy off roof and beats him to death!"
But the White House Press Secretary, Sarah Sanders defended Trump's actions saying that "whether it's a real video, the threat is real. His goal is to promote strong border security and strong national security."