The news of engagement was confirmed by E! Online. The actress also took to Instagram to show off her ring.
Heathcote, 29, first sparked engagement rumours when she was photographed leaving the Sydney airport earlier this month with a huge diamond sparkler on her ring finger.
Heathcote and Dominik, 49, have been dating for six years.
Dominik was previously engaged to actress Robin Tunney in 2009 until they called off their engagement in August 2010.
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