The Daily Mail newspaper reported, the Monarch, who is set to turn 94 on April 21, has also said government buildings will be exempt from flying flags if it creates a problem.
The Queen said that she did not feel gun salutes would be appropriate in the circumstances of the crisis, which has claimed 14,607 lives in the UK and infected a total of 104,769 people.
The idea of looking at an alternative Trooping the Colour event to mark her official birthday in June has also been dropped as the UK continues in lockdown.
"Her Majesty was keen that no special measures were put in place to allow gun salutes as she did not feel it appropriate in the current circumstances," the Daily Mail report quoted a source as saying.
The Queen will mark her birthday privately in Windsor, where she has been with her 98-year-old husband Prince Philip since leaving Buckingham Palace on March 19.
On April 5, the Queen urged the country to pull together to fight Coronavirus in a TV message, saying: "If we remain united and resolute, then we will overcome it."
Her historic intervention was only the fifth time she has addressed the nation in a TV broadcast, apart from at Christmas, during her reign.
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The monarch’s birthday on April 21 is customarily saluted at noon local time (7 a.m. ET) with 41 guns fired by the King's Troop Royal Horse Artillery in Green Park, which is adjacent to Buckingham Palace in central London.
An hour later by a 62-gun salute is fired by the Honorable Artillery Company at the Tower of London nearby.
Both of the events have now been canceled.