BBC: "The Dukes of Cambridge and Sussex have paid tribute to their grandfather, the Duke of Edinburgh.
In separate statements, Prince William described him as an "extraordinary man", while Prince Harry said he was "a man of service, honour and great humour" and the "legend of banter".
"I will miss my Grandpa, but I know he would want us to get on with the job," Prince William added.
Prince Philip died at Windsor Castle on Friday aged 99." "My grandfather's century of life was defined by service - to his country and Commonwealth, to his wife and Queen, and to our family," Prince William said in a statement.
"I feel lucky to have not just had his example to guide me, but his enduring presence well into my own adult life - both through good times and the hardest days.
"I will always be grateful that my wife had so many years to get to know my grandfather and for the kindness he showed her.
"I will never take for granted the special memories my children will always have of their great-grandpa coming to collect them in his carriage and seeing for themselves his infectious sense of adventure as well as his mischievous sense of humour!"
He added that he and his wife, Catherine, would "continue to do what he would have wanted and will support the Queen in the years ahead".
Paying tribute to his grandfather, Prince Harry said: "He was authentically himself, with a seriously sharp wit, and could hold the attention of any room due to his charm - and also because you never knew what he might say next.
"He will be remembered as the longest reigning consort to the monarch, a decorated serviceman, a prince and a duke.
"But to me, like many of you who have lost a loved one or grandparent over the pain of this past year, he was my grandpa: master of the barbecue, legend of banter, and cheeky right 'til the end."