Career
Brun"s father is assumed to have been Count Liudolf (died 993). In 1002, Brun married Gisela of Swabia, who later became wife of the Emperor. Their oldest son was Liudolf (about 1003–1038).
Brun participated in the election for King of the Romans of 1002 (after the death of Otto III, Holy Roman Emperor) as a candidate and elector.
Brun had been considered a legitimate candidate because he was a male-line relative of Otto III.