Kate, Britain's Princess of Wales, and her husband Prince William have been "enormously touched" by the messages of support received since she announced her cancer diagnosis, a Kensington Palace spokesperson said.
Kate said on Friday she was undergoing preventative chemotherapy after tests done following her major abdominal surgery in January revealed cancer had been present.
The 42-year-old wife of heir to the throne Prince William, called the cancer discovery a "huge shock".
The news comes as a fresh health blow to the British royal family: King Charles is also undergoing treatment for cancer.
Kate's statement via a video message, which was filmed at Windsor Castle on Wednesday, triggered an outpouring of support from well-wishers.
“The Prince and Princess are both enormously touched by the kind messages from people here in the UK, across the Commonwealth and around the world in response to Her Royal Highness’ message," the Kensington Palace spokesperson said in a statement.
"They are extremely moved by the public’s warmth and support and are grateful for the understanding of their request for privacy at this time."
Kate's Friday announcement dominated British newspaper front pages on Saturday, with supportive messages combined with criticism of those who had speculated about her health in recent weeks.
The public also showed their support.
One of the most personal messages of support came from Kate's brother, James Middleton. He posted a childhood photo of him and his sister on Instagram and wrote: "Over the years, we have climbed many mountains together. As a family we will climb this one with you too."
On Friday, messages of support poured in for Kate, including from King Charles, Prince Harry, Prime Minister Rishi Sunak, Archbishop of Canterbury Justin Welby and US President Joe Biden.
Sunak said Kate had "shown tremendous bravery" with her statement, adding she "has been unfairly treated by certain sections of the media around the world and on social media".
Kate's diagnosis was also big news internationally.
"Catherine's Cancer Diagnosis Puts UK Royals on Even More Uncertain Terrain," said the New York Times, noting that the grave health concerns of both the king and Kate are stretching an already slimmed-down monarchy.
Charles, who took the throne in September 2022 after the death of his mother Queen Elizabeth, underwent a corrective procedure for an enlarged prostate at the same hospital as Kate in January.
Buckingham Palace then revealed in February that the 75-year-old king was to have treatment for cancer, meaning he has had to postpone his public royal duties.
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