Friederike married Alexander Karl, Duke of Anhalt-Bernburg, son of Alexis Friedrich Christian, Duke of Anhalt-Bernburg and Princess Marie Friederike of Hesse-Kassel, on 30 October 1834 at Schloss Louisenlund, near Schleswig.
By November 1855 the Duke was confined to Schloss Hoym due to a progressive mental illness (some sources state that he suffered from schizophrenia).