King Charles III is “so proud of Catherine for her courage” in speaking about her treatment for cancer, Buckingham Palace has said.
The King, who has been diagnosed with cancer himself, is in the “closest contact with his beloved daughter-in-law”, a short statement read.
Support has poured in for the princess, who described her diagnosis as a “huge shock” in a video released on Friday.
She has been undergoing preventative chemotherapy since late February.
The princess said it had been an “incredibly tough couple of months” for her family but she was “well and getting stronger every day”.
Her news comes six weeks after King Charles paused his public appearances following a cancer diagnosis himself.
The two were briefly treated at the London Clinic private hospital at the same time.
Catherine had a planned abdominal surgery there in January, and the King was admitted for a “corrective procedure” for an enlarged prostate.
“His Majesty is ‘so proud of Catherine for her courage in speaking as she did’,” Buckingham Palace said.
King Charles and Queen Camilla, who were informed of the news about the princess’s health before Friday’s announcement, said they would “continue to offer their love and support to the whole family through this difficult time”.
The Duke and Duchess of Sussex sent a message saying: “We wish health and healing for Kate and the family, and hope they are able to do so privately and in peace.”
Catherine’s brother James Middleton posted a message of support for his sister on Instagram, writing: “Over the years, we have climbed many mountains together. As a family, we will climb this one with you too”.
Kensington Palace has not disclosed the type of cancer Catherine has been diagnosed with, but says it is confident she will make a full recovery.
Members of the public have been sharing messages of sympathy with the princess.
Karl from Yorkshire, told BBC Radio 5 Live he wished Catherine “all the best”. He said he had been diagnosed with cancer two years ago and telling his three adult children was “one of the toughest things” he had ever done.
He said he had not yet told his six-year-old daughter because “I don’t look ill”, adding he did not “envy Kate who doesn’t have the luxury of anonymity like me”.
Rod Laight, chairman of trustees of the Primrose Hospice in Bromsgrove, said many families would find comfort from Catherine and her words.
“What Princess Kate has achieved will have unbelievable positive effects on the future of everyone involved in cancer care,” he added.
Eve Watts, who lives in Windsor, said the news was a “shock because she’s so young”. She added: “It just shows you it could happen to anyone.”
Ms Watts’ mother Valerie, who was visiting the historic town from Southport, said she hoped Catherine’s video would “end all the speculation that’s been going on”.
Across the road from Windsor Castle, visitor Sonia Dunn said the princess was an “amazing young woman” and a “huge asset to the country”, adding: “We just need to let her have time and space.”
Meanwhile, Prime Minister Rishi Sunak said on Friday that Catherine had shown “tremendous bravery” in the face of “intense scrutiny”.
He added: “When it comes to matters of health, like everyone else, she must be afforded the privacy to focus on her treatment and be with her loving family.”
Labour leader Sir Keir Starmer said his thoughts were with the Royal Family, and that he was heartened by the princess’s optimism and “message of faith and hope”.
Sir Keir also referenced the scrutiny Kate had faced in recent weeks, remarking on the “added stress” of receiving her diagnosis amid “lurid speculation”.
The Archbishop of Canterbury, the Most Reverend Justin Welby, praised the princess for her “compassion and sense of service” in speaking about her diagnosis, adding his prayers were with her “at this tremendously difficult time”.
Elsewhere, US President Joe Biden said he was joining “millions around the world in praying” for Catherine’s “full recovery”.
And French President Emmanuel Macron said the princess’s “strength and resilience inspire us all”.