He was a son of Moisé Venier (c. 1412 – c. 1476)[1] and wife (married 1437) Caterina Vitturi, paternal grandson of Biagio Venier (died 1449)[2] and wife (married 1406) Lucia Contarini, great-grandson of Antonio Venier.[3]
He married in 1479 Fiorenza Sommaripa, Lady of Paros (died 1518),[4] and had Nicolò Venier, Lord of Paros and Cecilia Venier.