His spokesman confirms it to People magazine.
Rumors have been swirling for months that Cyrus and Hemsworth were either on the rocks or had broken up completely.
In June, after one tabloid blamed the break-up on trouble between Hemsworth and her parents, Cyrus wrote in her blog that she and Liam were "so happy."
And, she added "a lot of that has to do with the amazing relationship he has" with her family.