Scaffolding and barriers were placed around the monument and the nearby Cenotaph in Whitehall on Thursday evening after it was vandalised last weekend. The two sites were boarded up for protection ahead of a weekend of demonstrations in London.
The Good Morning Britain presenter targeted the Prime Minister after Mr Johnson tweeted: “The statue of Winston Churchill in Parliament Square is a permanent reminder of his achievement in saving this country – and the whole of Europe – from a fascist and racist tyranny.
“It is absurd and shameful that this national monument should today be at risk of attack by violent protestors.
“Yes, he sometimes expressed opinions that were and are unacceptable to us today, but he was a hero, and he fully deserves his memorial.”
Mr Morgan sharply responded: “Take him out of that ridiculous box then.
“What part of ‘NEVER SURRENDER’ don’t you get?”
The vandalism of the Churchill statue came during the Black Lives Matter protests which started following the death of George Floyd in the US.
Mr Floyd died after a police officer held him down by pressing his knee into his neck for almost nine minutes in Minneapolis on May 25th.
As part of the worldwide demonstrations, statues of figures linked to the slave trade including Edward Colston have been targeted.
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Shadow home secretary Nick Thomas-Symonds said Boris Johnson needed to recognise the “deep hurt” felt by black people in the UK, with further BLM protests expected in the coming days.
He added: “It is clear that the weekend ahead is likely to cause major challenges, with the risk of violence in our streets, not least as far-right extremists seek to exploit the situation and sow hate for their own divisive ends.
“I have no doubt that police across the country have the skills, experience and dedication to respond as well as possible to the challenge, and the vast majority of protesters intend to be peaceful.
“However, the Prime Minister should be showing national leadership, by co-ordinating the Government’s response to the complex issues underpinning these protests.
“This means recognising the deep hurt so many black people in our country have spoken so powerfully about, and setting out steps for meaningful action against racism in our country.”