The couple already share sons Jigme Namgyel Wangchuck, seven, and Jigme Ugyen Wangchuck, three.
Their Majesties wish to thank everyone for their continued good wishes and prayers.
The King and Queen of Bhutan at a pre-coronation reception last month.

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The queenthen made the journey to Jordanfor the royal wedding of Crown Prince Hussein and Princess Rajwa.
Queen Jetsun of Bhutan and Princess Eeuphelma of Bhutan at the Jordanian royal wedding.
The then Duchess of Cambridge and Queen Jetsun during the British royals visit to Bhutan in 2016.
The King and Queen of Bhutan at a pre-coronation reception last month.
His name was officially revealed two months later.
Up until that point, he was known publicly as the Gyalsey or the prince.
Their younger son, Jigme Ugyen Wangchuck, was born in June 2020.
Queen Jetsun of Bhutan and Princess Eeuphelma of Bhutan at the Jordanian royal wedding.
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The then Duchess of Cambridge and Queen Jetsun during the British royals’ visit to Bhutan in 2016.