The city lies immediately south of its namesake, the Cuyuna Range, a line of iron-bearing hills in central Minnesota. Cuyuna was one of the mining towns along the range, part of a list including Crosby, Ironton, Trommald, and Manganese). The Cuyuna Range saw its heyday in the first half of the 20th century, and mining on the range ceased in 1984. The local economy is now dependent upon tourism; the Cuyuna Country State Recreation Area now encompasses some of the range.
There were 90 households out of which 30.0% had children under the age of 18 living with them, 61.1% were married couples living together, 5.6% had a female householder with no husband present, and 27.8% were non-families. 22.2% of all households were made up of individuals and 6.7% had someone living alone who was 65 years of age or older. The average household size was 2.57 and the average family size was 2.95.
In the city the population was spread out with 26.8% under the age of 18, 6.9% from 18 to 24, 26.8% from 25 to 44, 26.0% from 45 to 64, and 13.4% who were 65 years of age or older. The median age was 39 years. For every 100 females there were 106.3 males. For every 100 females age 18 and over, there were 108.6 males.
The median income for a household in the city was $44,107, and the median income for a family was $48,750. Males had a median income of $38,000 versus $29,500 for females. The per capita income for the city was $17,838. About 7.6% of families and 10.0% of the population were below the poverty line, including 4.9% of those under the age of eighteen and 18.4% of those sixty five or over.