Terence M. "Terry" Dempsey (born February 1932) is an American politician and a former member of the Minnesota House of Representatives who represented the old House districts 23A and 28B, which included all or portions of Brown, Cottonwood, Nicollet and Redwood counties in the south central part of the state. A Republican, he was an attorney and partner in the New Ulm law firm of Somsen, Dempsey and Schade. Later, he served as a Minnesota district court judge. His brother Jerry Dempsey also served in the Minnesota Legislature.