The Palace said Prince Philip was "comfortable and in good spirits" and is "progressing satisfactorily at this early stage".
He has been absent from a number of events in recent weeks including Sunday's Easter service at Windsor Castle, which was attended by the Queen.
The duke stepped down from his public duties last summer, but on occasion does attend events with the Queen.
While Prince Philip has been in a fairly healthy condition throughout his life, he had been reportedly treated for a blocked coronary artery in 2011, and a bladder infection in 2012.
United Nations raises $2 billion in Yemen appeal
Jan Egeland, secretary general of the Norwegian Refugee Council, called for a ceasefire and end to the war. The target for the 2018 Yemen humanitarian appeal was set at $2.96 billion (2.4 billion euros).
He did not accompany the Queen, 91, to a church service at a service last Thursday because of the hip problem, a royal source said last week.
Much of that activity has come to an end as age has taken its toll. When the Duke missed Prince Andrew's new appointment as Colonel of the Grenadier on 22 March, Buckingham Palace did not respond to requests for comment, but his absence did not go unnoticed.
There's a busy few months coming up for the royal family, as the Duke and Cambridge prepare to welcome their third child, and Prince Harry and Meghan Markle marry next month. When it was announced previous year that he would be retiring from official engagements, Buckingham Palace stressed that the decision was not health-related and that he had the full support of the Queen.
In June 2013 he spent 11 nights at the London Clinic, another private hospital in central London, where he underwent exploratory abdominal surgery.
Active Shooter Reported at YouTube Headquarters
YouTube staff stand outside the building with their hands up after evacuating their office amid reports of an active shooter. The City Manager says they've received multiple 911 calls from YouTube, however, they did not disclose the reasons why.
Part of the pelvis is also hollowed out and fitted with a socket for the ball to move in.
Ananda Nanu, the board's president, said hip replacement patients need strong pain relief after their operations.
In the 1990s, the Queen Mother underwent two successful hip operations, aged 95 and 97.
Duke of Edinburgh admitted to hospital for hip surgery
Prince Philip is getting medical attention after experiencing some trouble with his hip. It said that the hospital admission and surgery were planned ahead of time.
- Gritty New Zealand tail secures draw and series win
- Steve Kerr calls Patrick McCaw's fall his "scariest" basketball moment
- Corbyn slammed for attending Seder hosted by pro-Palestinian Jewish group
- Putin and Erdogan to launch Turkey's 1st nuclear reactor
- Snow expected in New York City on Monday
- A Tribute to the Late Apartheid Struggle Veteran, Winnie Madikizela-Mandela
- Mark Zuckerberg Says Facebook Will Need 'A Few Years' To Fix
- Gay dating app Grindr says it shared HIV status of users
- Teenage girl dies in mother's arms after London shooting
- Isle Of Wight Council's Gender Pay Gap Revealed