Henry first married (in 1204) Agnes of Montferrat, daughter of Boniface of Montferrat, the Crusade leader, but she had died (probably in childbirth) before her father's death in 1207.
Estivera casado anteriormente (en 1204) con Inés de Montferrato, filla de Bonifacio de Montferrato, o líder da Cruzada, pero ela morrera (probabelmente no parto) antes da morte do seu pai en 1207.