Philip had suffered from hip pain in recent weeks.
As planned, the 96-year-old Duke of Edinburgh underwent a hip surgery operation on Wednesday, and according to a new statement released by royal communications, everything went successfully.
"His Royal Highness is likely to remain in hospital for several days. He is progressing satisfactorily at this early stage", the palace added in a statement.
Philip, 96, was operated on earlier on Wednesday in a planned procedure after suffering with a hip problem for about a month.
Buckingham Palace has said it will provide updates "when appropriate" but has not provided details about the nature of the surgery.
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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.
This past Sunday, the queen marked the Easter holiday at a church service in Windsor without her husband of more than 70 years.
Philip stepped down from his public duties last summer, but on occasion attends events with the Queen. "That's more important than someone's chronological age".
Prince Philip could be the longest-serving consort in British heritage.
Also invited will be 200 people from various charities associated with the couple, 100 students from two local schools, 610 Windsor Castle community members and 530 Members of The Royal Households and Crown Estate. His surgery comes ahead of a busy time for the royal family, with Kate Middleton, Duchess of Cambridge, due to give birth to her third child some time this month, and the wedding of his grandson, Prince Harry, with Meghan Markle on May 19.