Logue travels back and forth to Killarney, County Kerry, Ireland, where his mother lives, and holds both Irish and Canadian citizenship. Logue has homes in Los Angeles and Oregon. When not acting, Logue is heavily involved in soccer, and regularly plays for the Los Angeles-based amateur team Hollywood United. Logue has a Class-A Commercial Drivers License and is licensed to drive tractor-trailers with double or triple trailers, tankers and hazardous materials. He has a hardwood company with one partner called Frison-Logue Hardwood, and a trucking company called Aisling Trucking with two partners based out of Central Point, Oregon, which the three founded in 2012.
Logue was formerly married or in a long-term committed relationship with Kasey Walker, also known as Kasey Smith. They have a son named Finn, and a daughter, Jade, who is openly transgender. On June 27, 2017, Logue posted a tweet saying Jade had gone missing; he later deleted it and launched a wider public appeal for help after contacting police and the National Center for Missing and Exploited Children. On July 8, E! Online reported that Jade "is no longer missing and is safely back home". In 2015, Logue appeared in Adam Massey's thriller film The Intruders.