Kai Bisgaard Anker Møller (22 May 1859 – 22 September 1940) was a Norwegian land owner and politician.

He was the son of Edvard Johannes Møller (1819–85) and Diderikke Annette Anker (1838-1912).

He graduated from the College of Agriculture (Høiere landbruksskole) (now Norwegian University of Life Sciences) at Ås in Akershus during 1880.

[2][3] He served as mayor of Torsnes for several years and held a number of other municipal positions.

He was elected to the Parliament of Norway from 1900 to 1903, representing Smaalenenes amt (now Østfold).