The race issues addressed by Harry and Meghan in an interview with Oprah Winfrey are "concerning" and will be addressed by the family in private, Buckingham Palace has said in a statement.
Queen Elizabeth and her family said they were were saddened to learn of the couple's experiences.
In the interview Meghan said that when she was pregnant with Archie there had been conversations with Harry "about how dark his skin might be when he was born".
The person who made the comments has not been named, although Prince Harry later clarified to Winfrey that it was neither the Queen nor the Duke of Edinburgh who made the comments.
"The whole family is saddened to learn the full extent of how challenging the last few years have been for Harry and Meghan," Buckingham Palace said in a statement.
"The issues raised, particularly that of race, are concerning. Whilst some recollections may vary, they are taken very seriously and will be addressed by the family privately.
"Harry, Meghan and Archie will always be much loved family members," the statement said.
The response from Buckingham Palace came after crisis meetings involving senior royals in the wake of the deeply personal interview by the Sussexes, who spoke about racism, mental health, the media and other members of the Royal Family.
During a visit in London earlier, Prince Charles did not speak about the interview.
The UK broadcast on Monday night was watched by an average of 11.1 million people.
Meghan also said in the interview that she had had suicidal thoughts saying "I just didn't want to be alive anymore". She said she was concerned about her mental welfare and "begged for help from the British royal family ... but nothing was done to help me".
- Reuters / BBC