An unidentified representative for the 29-year-old actress and 33-year-old actor confirmed the couple are engaged after dating for more than a year, People.com reported Friday.
The two movie stars met while filming 2007's "Evening," the representative added.
Danes, known for roles in the TV series "My So-Called Life" and movies like "Romeo + Juliet," will next appear on the big screen in the drama "Me and Orson Welles."
E! Online said Dancy can soon be seen in the upcoming comedy "Confessions of a Shopaholic." Dancy previously appeared in "The Jane Austen Book Club," "Black Hawk Down" and "King Arthur."