Rudolf III took up government after his father's sudden death on 15 May 1388. Rudolf was involved in a long-running dispute with the Archbishopric of Magdeburg. He donated numerous gifts to the Wittenberg All Saints' Church.
Rudolf was buried in the Franciscan monastery in Wittenberg. His coffin was moved to the crypt of the Wittenberg All Saints' Church in the 19th century, and to the family grave during the Second World War. As he had outlived his male heirs, he was succeeded by his younger brother Albert III.
Marriage and issue
About 1387/89 Rudolf married with Anna of Meissen (d. 4 July 1395), a daughter of the Wettin landgrave Balthasar of Thuringia and secondly in March 1396 with Barbara (d. 17 May 1435), daughter of the Piast duke Rupert I of Legnica.