Their offices will instead be moved to St James’ Palace, next to Clarence House where Prince Charles lives, according to the Daily Star.
Prince Andrew and Edward, the Queen’s second and third eldest sons, will reportedly also have to vacate their apartments in the eastern wing of Buckingham Palace during the renovations.
However, they will remain within the building, and will receive temporary new lodgings.
The move is taking place to facilitate a major renovation project, which was started last year after a “catastrophic” fire risk was discovered.
The project will include ripping up and replacing 3,000 miles of vulcanised rubber cables within the Palace, which have been deemed a serious fire hazard.
In total, the renovation will cost £369million and is projected to take 10 years with a 2027 completion date.
Ahead of the next stage of the works, the eastern wing will be emptied later this month.
An estimated 3,000 pieces of furniture and art will be moved from all six floors of the wing.
As part of the work, the Queen and Prince Philip will have to move out of their apartments in the northern wing in 2025.
Prince Philip is understood to be taking a keen personal interest in the renovation work.
A Palace official said: “The Duke of Edinburgh was very involved in the 1992 restoration of Windsor Castle.
“His is keen for us to follow a phased approach in the re-servicing project at Buckingham Palace and said ‘you learn from your mistakes’.”
Windsor Castle was subject to a radical five-year makeover project after a large fire tore through the complex in November 1992.
The renovation of Buckingham Palace will be funded through the Sovereign Grant, which is paid for by the taxpayer.
To cover the cost of the works, the grant will be increased during the renovation period.
This comes as doubts remain over the long-term future of Buckingham Palace.
Prince Charles is reported to be “very comfortable” at Clarence House and is hoping to remain there as king.
Instead, Buckingham Palace would be opened to the public for much longer periods, functioning as more of a museum and bringing in increased tourist revenue.