Meghan, Duchess of Sussex, was joined by Prince Harry during a video interview on Thursday. The royal couple discussed structural racism to mark the start of Black History Month in Britain.
Speaking to the Evening Standard, the Duchess said that is was good that the BLM movement was making people feel “uncomfortable”.
BLM protests sparked across the US and UK in response to the police killing of George Floyd in Minneapolis in May.
In America the protests caused some violent scenes which has sparked a political divide in the country ahead of the US presidential election.
The Duchess of Sussex acknowledged that it was a “different movement” in America compared to the UK.
She said: “The impetus is from a place of recognizing equality and if you just go back to its ground level, I don’t think there’s anything controversial about it.
“What has been inflammatory for a lot of people is when any version of the community becomes disruptive.
“But when it’s just peaceful protest and when there’s the intention of just wanting unity and wanting recognition of equality, then that’s a beautiful thing.
“While it has been challenging for a lot of people certainly having to make this reckoning of historical significance that has got people to the place that they are, that is uncomfortable for people and we recognize that. It’s uncomfortable for us.”
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Widespread protests were also triggered in Kenosha, Wisconsin following the police shooting of the black man Jacob Blake.
The Duke and Duchess’ interview comes just a few days after President Trump refused to explicitly condemn a “white supremacist” group during the first US election debate.
But on Thursday night, Mr Trump condemned all white supremacist groups after senior Republicans expressed their unease about the president’s election debate remarks.
Prince Harry said he became more aware of racial issues after meeting his wife.
During the interview on Thursday, he said: “I wasn’t aware of so many of the issues and so many of the problems within the UK and also globally as well. I thought I did but I didn’t.
“You know, when you go in to a shop with your children and you only see white dolls, do you even think: ‘That’s weird, there is not a black doll there?’.”
He added: “It is not about pointing the finger, it is not about blame. I will be the first person to say, again, this is about learning.”
The couple’s interview is the latest in a series of comments the Sussexes have made on politics.
In September, the couple urged Americans to vote in the upcoming election.
Prince Harry urged voters in the US to “reject hate speech, misinformation and online negativity”.