According to Hervor's Saga, Höfund was the son of Gudmund at Glæsisvollir.
He was the wisest of men, and was so fair-minded that he never made a wrong judgment.
He married Hervor, the daughter of Angantyr the Berserker, and had sons Heidrek and Angantyr. Angantyr was killed when he asked Heidrek to show him his grandfather's enchanted sword Tyrfing, upon which Heidrek drew the sword - which could not be drawn unless to kill a man.
His surviving son Heidrek had a daughter named Hervor and sons named Angantyr and Hlod. When Heidrek died, Angantyr refused to give Hlod his share of the inheritance. Hlod attacked with the support of a Hun army, and was killed.