Following his death at Heidecksburg castle he was succeeded as prince by his brother Prince Albert as all his son's by his first wife had predeceased him and his son by his second wife Prince Sizzo of Leutenberg was born from a morganatic marriage.
После него князем Шварцбург-Рудольштадтским стал его младший брат Альберт I. Сын Фридриха Гюнтера от второго брака, Гюнтер Зиццо до 8 ноября 1896 года носил титул "принца Лейтенбергского" и не имел никаких прав на наследование княжества.