Dimas was married to Anastasia Sdougkou, a former Greek National Television (ERT) sports reporter. Together they had four children, Eleni (b. 1995), Victor (b. 1998), Maria (b. 2000), and Nickolas (b. 2009). When he was in his youth, he idolized the former Soviet (Armenian) weightlifter of his senior category, Yurik Vardanian, whose son, Norik Vardanian idolized him when he (Norik) was a child. His wife Anastasia Sdougkou died of brain cancer on 14 June 2018.