[1] Carsten Tank was born at Rød Herregård, the family estate at Halden in Østfold County, Norway.
He came to own numerous properties, a tobacco factory, several sawmills and large forests.
[2] Carsten Tank was married first to Bartha Sophie Leth (d. 1795) from Halden, and secondly to Catherine von Cappelen (1772–1837), sister of Didrich von Cappelen (1761–1828), who was the deputy for Skien to the Norwegian Constituent Assembly at Eidsvoll in 1814 which established the Constitution of Norway.
His son, Nils Otto Tank (1800–1864) was the noted Moravian Church missionary to the Dutch colony of Suriname.
His daughter, Petronelle Didrikke Cathrine, (died 1833) who married Peter Martin Anker inherited the family estate Rød Herregård.