The Prince and Princess of Wales are "enormously touched" and "extremely moved" by the public's warmth and support following Kate's cancer announcement.
Kate, 42, .
There has been a global outpouring of support, including from the King, the Duke and Duchess of Sussex, political figures and members of the public.
A Kensington Palace spokesperson said on Sunday: "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.
"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."
, is said to be proud of his "beloved" daughter-in-law for her courage in speaking about her treatment and has remained in close contact during the past few weeks.
Words of support also came from the Duke and Duchess of Sussex, who said: "We wish health and healing for Kate and the family, and hope they are able to do so privately and in peace."
The form of cancer has not been disclosed, but , and is said to have a positive mindset for her recovery and is in good spirits, describing herself as "well and getting stronger every day".
William and Kate have focused on their children, taking the time to sensitively share the state of the princess's health with Prince George, Prince Charlotte and Prince Louis.
It is understood the video message, recorded on Wednesday in Windsor, was released on the day William and Kate's three children began their Easter school holidays, to take advantage of the break to shield them from coverage of their mother's health.
The announcement might end weeks of intense speculation and conspiracy theories on social media about the whereabouts and health of the future queen.
In a video message, Kate asked for "time, space and privacy" as she completes her treatment. Source: Instagram
It is not known how long Kate will receive treatment but it is understood she might be keen to attend events as and when she feels able to, in line with medical advice.
Charles has been receiving treatment for an undisclosed form of cancer since early February after he was treated for an enlarged prostate at the same hospital where Kate had abdominal surgery.
