Henry married Sophie, possibly a member of the
House of Stolberg. They had three children: •
Bernhard V, Prince of Anhalt-Bernburg (died 24 June 1420) • Rudolph (III) (died 28 November 1406), Bishop of
Halberstadt (1401–1406) • Adelheid (died aft. 2 February 1374), Abbess of
Gernrode (1348–1374). After his death, his son Bernhard was bypassed in his rights over Bernburg in favor of Henry's younger half-brother
Otto, who succeeded him.