László was the son of Miklós Rhédy de Kisrhéde and Zsófia Sáry de Misse. The date and place of his birth have not been found.
His wife was Erzsébet Recsky de Recsk. They were married, but the date and place have not been found. Their ten known children were Péter (?-?), István (?-1589), Bonaventura (?-?), Ágota (?-?), Pál (?-?), Ferenc (?-?), Lukács (?-1549), András (?-?), Orsolya (?-?) and Magdolna (?-?).
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