In a message posted on social media, Catherine spoke of her "relief" and said she remained "focused on recovery".
"As anyone who has experienced a cancer diagnosis will know, it takes time to adjust to a new normal. I am however looking forward to a fulfilling year ahead," the princess wrote in the post, which she signed off as "C".
Earlier, on a visit to the Royal Marsden Hospital in west London, Catherine thanked staff and empathised with cancer patients about the "tough" treatment but reassured them there was "light at the end of that tunnel".