Members of the family were land owners and from the 17th century war commissioners, judges, councillors of state (etatsråd), Governors (stiftamtmann), Supreme Court Justice and General in Denmark.
He was married to Ida Sophie Amalie Glud (1672–1703), daughter of Bishop of Viborg Søren Glud and Ida Christine Moth, a sister of the King's mistress Sophie Amalie Moth.
Herman Lorentz' and Ida Sophie Amalie's sons were Christian Ulrich von Nissen-Benzon of Skærsø (1691–1756), Governor of Tranquebar 1720–26 and commandant of Dansborg from 1718, councillor of state, Governor of Trondhjems Stiftamt, Aarhus Stiftamt, Copenhagen, and Supreme Court Justice 1744–56, and Major-General Christian Siegfried von Nissen-Benzon of Skærsø (1690–1763).
The current male line Nissen family is descended Herman Lorentz' brother, Nicolai Nissen (1664–1717), owner of Lerbæk and Rugballegaard and war commissioner in Scania during the Great Northern War and in Jutland.
He was married to Elisabeth Sophie Banner-Høeg (1669–1739), daughter of Gregers Ulfstand Banner-Høeg of Vang og Birgitte Kaas, who belonged to the Danish Uradel and was descended from families such as Bille, Reventlow, Gyldenstierne, Rosenkrantz, Brahe, Rantzau and Walkendorff.