He owned the estates of Jungshoved, Oremandsgaard and Nysø and serv as prefect (amtmand(amtmand/stiftsamtmand) of Vordingborg Municipality from 1767 to 1776 and of the Diocese of Zealand from 1776 to 1787.

Ub 1779, he was awarded the more prestigious title of Gehejmekonferensråd In 1757, Brockenhus married to Hedevig Sophie Elisabeth Holstein-Ledreborg (1737-1786).

She was a daughter of Datter af Lensgreve Johan Ludvig von Holstein-Ledreborg, til Ledreborg and Hedevig Christiansdatter Vind.

Their elder son Frederik Brockenhuus (1758-1846) settled with his Italian wife in Naples where he served as Danish envoy.

The daughter Vibeke Margrethe Brockenhuus (1764-1836) was married to lord chamberlain and director of the Royal Danish Theatre Adam Wilhelm von Hauch (1755-1838).