"He has been displaying mild symptoms but otherwise remains in good health and has been working from home throughout the last few days as usual, it notes.
In keeping with social distancing advice during the pandemic, Charles has been noticeably using 'namaste' as a greeting rather than a handshake when seen in public over the last few weeks, including during an event to mark Commonwealth Day on March 9 at Marlborough House in London.
His wife Camilla, 72, was seek wearing long black gloves during the same event.
"The Duchess of Cornwall has also been tested but does not have the virus. In accordance with government and medical advice, the Prince and the Duchess are now self-isolating at home in Scotland, Clarence House said.
The Royals were tested on Monday after they had flown out to Scotland in a jet on Sunday and the royal couple have remained there since then.
The statement adds: "The tests were carried out by the NHS (National Health Service) in Aberdeenshire where they met the criteria required for testing.
It is not possible to ascertain from whom the Prince caught the virus owing to the high number of engagements he carried out in his public role during recent weeks."
Charles last met 93-year-old Queen Elizabeth II "briefly" on March 12, who has been based at Windsor Castle for nearly a week now.
Her Majesty the Queen remains in good health and is following appropriate advice, Buckingham Palace said.
Prince Charles' last public event was a reception and dinner in aid of the Australian bushfire relief effort on March 12, which took place at Mansion House in London.
Earlier that day, he had attended an investiture ceremony at Buckingham Palace in London, where he also greeted recipients with a 'namaste' due to concerns building around the spread of the pandemic.
This comes as Britain entered its second day of a national lockdown. Police are patrolling the streets to enforce the lockdown.
According to the Johns Hopkins coronavirus
tracker, there are 428,405 confirmed cases across the world, 19,120 deaths.
In the UK, the number of confirmed cases are 8,167 and the death toll increased by 87 to 422.