He was discharged from hospital in March a month after treatment for an infection and a pre-existing heart condition.
The statement said he "passed away peacefully at Windsor Castle". Further announcements will be made in due course. "I would like to express my condolences to the royal family and to be very honest and say I have deep, deep, deep, the utmost respect for the royal family".
The couple, who had been married 73 years, spent much of the pandemic isolating at Windsor Castle.
A later statement confirmed that following guidance from the Royal Household and Her Majesty's Government "all football fixtures this evening and over the weekend [10-11 April] can continue at the discretion of competition organisers".
Prince Philip was most associated with cricket, as president for two terms of the Lord's-based Marylebone Cricket Club, which is regarded as the guardian of the laws of the game. And it is to Her Majesty and her family that our nation's thoughts must turn today.
He said Prince Philip was an environmentalist and "champion of the natural world long before it was fashionable". With his Duke of Edinburgh Awards Scheme, he shaped and inspired the lives of countless young people, and at literally tens of thousands of events, he fostered their hope and encouraged their ambitions.
The MCC flag at Lord's where Prince Philip had often attended matches was flown at half-mast
Speaking outside 10 Downing Street, Johnson said Prince Philip had "earned the affection of generations here in the United Kingdom, across the Commonwealth, and around the world".
Mr Morrison noted he had presided as patron or president of almost 50 organisations in Australia, and had a strong connection with the Australian Defence Force.
The Football Association said it had sent its "deepest condolences" to the Queen and the Duke of Cambridge, the FA's president.
"I feel sad for the departure of Prince Philip on a personal basis because I have only positive feelings for the meaning of the family".
Prince Philip celebrated his 73rd wedding anniversary with the Queen in November previous year.
The former naval officer admitted he found it hard to give up the military career he loved and to take on the job as the monarch's consort for which there was no clear-cut constitutional role.