It does not appear that the actor Anson Mount is married. There are several biographical sources about him available, none of which list a spouse as of 2015. Additionally, Anson Mount is very active on social media, and there are not any pictures of him with a significant other.
While the majority of reputable sources make no mention of Anson Mount being married, there are several bloggers who insist that he has a wife. Whether or not this is true remains to be seen, official biographies of Mount, such as the one on Internet Movie Database, reference his parents, his career and his education but make no mention of a significant other.