Urness Township was organized in 1869, and is said to be named after a place in Norway.

As of the census[1] of 2000, there were 266 people, 105 households, and 82 families residing in the township.

The racial makeup of the township was 98.50% White, 0.75% Asian, and 0.75% from two or more races.

19.0% of all households were made up of individuals, and 11.4% had someone living alone who was 65 years of age or older.

About 2.7% of families and 8.3% of the population were below the poverty line, including 11.6% of those under the age of eighteen and 7.3% of those 65 or over.