The invitation came during a conversation between the pair on Tuesday, in which Mr Biden informed the King that US first lady Jill Biden would attend his coronation in May.
US presidents traditionally do not attend British monarchs' coronations.
"The president was appreciative of the offer by the King and looks forward to that state visit," White House spokesperson Karine Jean-Pierre told reporters.
She said that Mr Biden spoke on the phone with the King for around 25 to 30 minutes.
"He congratulated the King on his upcoming coronation, they have a very friendly conversation, he has a good relationship with the King," she said.
"He talked about how he enjoyed visiting the Queen back in 2021 when he and the first lady came to Windsor and he hoped to visit again soon. joe biden thanksgiving meme
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