Buckingham Palace announced that Philip's ceremonial royal funeral will take place on April 17 in St George's Chapel, Windsor Castle, and a national minute's silence will be observed as it begins at 3pm.
The duke's coffin will be transported from the castle to the chapel in a specially modified Land Rover he helped to design, and followed by the Prince of Wales and senior royals on foot, a senior Palace official said.
The Queen has approved the Prime Minister's recommendation of national mourning, which began on April 9 and runs until and including the day of the funeral.
Only 30 people - expected to be the Duke's children, grandchildren and other close family - will attend as guests, but the Duchess of Sussex has been advised by her physician not to travel to the UK for the funeral, a Palace spokesman said.
It is understood Meghan made every effort to be able to travel with Harry, who will be among the mourners, but has not received the medical clearance to board a plane.
Originally 800 people would have been due to gather to pay their respects to the nation's longest serving consort, but Philip is known to have wanted a low key affair.
All public elements of the funeral have been cancelled, it will be televised but take place entirely in the grounds of the castle, the Palace said.
The Queen has decided the royal family will enter two weeks of royal mourning, and engagements will continue appropriate to the circumstances, a senior royal official said.
Public elements of Operation Forth Bridge - the codename for the duke's funeral plans - were abandoned for fear of drawing crowds including the long held arrangements for military processions through London and Windsor.
Instead, the proceedings will take place entirely in the grounds of Windsor Castle, televised, but away from public view and with no access for royal fans.
The duke died peacefully in his sleep at Windsor Castle on Friday, two months before his 100th birthday, leaving the Queen and the royal family "mourning his loss".
The Earl and the Countess of Wessex spent around an hour with the Queen at the castle on Saturday, with a tearful Sophie telling reporters as she left: "The Queen has been amazing."
The Duke of York also arrived at Windsor on Saturday, while the Prince of Wales visited his mother there on Friday.
Gun salutes have been fired across the UK, in Gibraltar and at sea in tribute to the duke.
The coffin, borne on the Land Rover, will be flanked by pallbearers drawn
from the duke's special relationships - the Royal Marines, regiments, corps and air stations.
The procession from the state entrance to the west steps of St George's Chapel will take eight minutes.
The Prince of Wales and members of the royal family will take part in the procession on foot, immediately behind the duke's coffin, together with staff from Philip's household.
The route of the procession will be lined by representatives drawn from the Royal Navy, the Royal Marines, the Highlanders, 4th Battalion Royal Regiment of Scotland and the Royal Air Force.
Minute guns will be fired by the King's Troop Royal Horse Artillery from the east lawn of Windsor Castle for the duration of the procession, and the Curfew Tower Bell will toll.