Boris Johnson says he has always had the “highest admiration” for the Queen but said at a news conference he would not comment on other Royal Family matters.

It follows Meghan and Prince Harry’s explosive interview with Oprah Winfrey, which aired in the US overnight.

In the two-hour broadcast, reportedly watched by more than 17 million Americans, the Duchess of Sussex said “concerns” were raised by an unnamed member of the royal household about baby Archie’s skin colour before he was born.

She also revealed she had suicidal thoughts during her time in the Royal Family. She said she asked to go somewhere to get help, and approached one of the most senior people in the institution, but was told it would not look good.

Live updates after Sussexes’ Oprah interview

The prime minister was asked by a reporter at the news briefing whether the allegation about Archie, and the accusation that the family failed to look after Meghan’s mental health, should be investigated by Buckingham Palace.

Mr Johnson responded by saying: “I have always had the highest admiration for the Queen and the unifying role that she plays in our country and across the Commonwealth.

“As for all other matters to do with the Royal Family, I have spent a long time now not commenting on Royal Family matters and I don’t intend to depart from that today.”

Labour leader Sir Keir Starmer has said the allegations made by Meghan in the interview should be taken seriously.

Earlier today, when asked whether Mr Johnson agreed with Labour leader Sir Keir, the PM’s spokesman said: “It is a matter for the Palace but the prime minister hasn’t seen those interviews.”

Pressed on whether allegations of racism should be taken seriously, the spokesman replied: “Neither he nor I have seen the interview.”

When asked if it was unacceptable to ask questions about the skin colour of an unborn child, Mr Johnson’s spokesman said the PM had said in the past that there was “no place in society” for racism.

Sir Keir said Meghan’s claims should be taken “very, very seriously”.

Speaking during a visit to a school in Dagenham in east London, he said: “It is really sad to see the family in turmoil like this.

“The issues that Meghan has raised of racism and mental health are really serious issues.

“It is a reminder that too many people experience racism in 21st-century Britain. We have to take that very, very seriously.

“Nobody, but nobody, should be prejudiced (against) because of the colour of their skin or because of their mental health issues.

“This is bigger than the Royal Family. For too many years we have been too dismissive and too willing to put these issues to one side.”

The party’s shadow education secretary told Sky News that Buckingham Palace should investigate the claims.

Kate Green said the allegations were “really distressing, shocking”, adding: “And if there are allegations of racism, I would expect them to be treated by the palace with the utmost seriousness and fully investigated.”

Analysis: Johnson was not afraid to speak out when he was a newspaper columnist

By Jon Craig, chief political correspondent

The prime minister gives a bland answer about his highest admiration for the Queen and her unifying role, but claims he has spent a long time not commenting on royal matters and isn’t going to depart from that.

Really? He was never afraid to speak out in his days as a newspaper columnist.

However, his strong backing for the Queen in the war of the Windsors will not doubt be interpreted by some as a coded slapdown for Meghan and Harry.

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