Márton was the son of László Albisi but his mother is unknown. The date and place of his birth have not been found.
His wife is not known. They were married, but the date and place have not been found. Their five known children were Miklós (?-?), Dávid (?-<1428), István (?-?), Lőrinc (?-?) and Dorottya (?-?).