On February 23, 1956, Dragna died of a heart attack in Los Angeles. His body was interred at Calvary Cemetery in East Los Angeles, California. Dragna was survived by two children. His son Frank Paul Dragna was a USC graduate and World War II veteran who lost an eye in the war and was nicknamed "One Eye" to distinguish him from his cousin who had the same name ("One Eye" also had a glass eye). Dragna had a daughter Anna Rosalia Dragna, who later married and changed her surname to Niotta.