He was also Count Palatine of Carinthia (a hereditary title), governor of Belluno-Feltre and Landeshauptmann of Carniola.

Through his first marriage with Elizabeth of Cilli, he was the brother-in-law of Sigismund of Luxembourg, Holy Roman Emperor and King of Hungary.

Henry likewise concluded an inheritance treaty with the Habsburg dynasty; this didn't go down well with his other neighbours, the Wittelsbach dukes of Bavaria and the Republic of Venice.

After the death of his younger brother John Meinhard VII in 1430, he also inherited the Swabian county of Kirchberg from the estate of his mother.

Henry was engaged with Elizabeth (d. 1392), a daughter of the Habsburg duke Leopold III of Austria.