Luverne is located at . It is located in southwest Steele County, about a mile north of the Steele County-Barnes County line on Steele County Highway 25. Luverne is about four miles east of the Steele County-Griggs County line. Luverne is just a few miles away from Lake Astabula, a man-made reservoir on the Sheyenne River. Luverne's closest neighbor is Sibley, North Dakota, four miles away. According to the United States Census Bureau, the city has a total area of, all of it land.
As of the census of 2010, there were 31 people, 17 households, and 9 families residing in the city. The population density was. There were 21 housing units at an average density of. The racial makeup of the city was 90.3% White, 6.5% Native American, and 3.2% from two or more races. There were 17 households of which 17.6% had children under the age of 18 living with them, 35.3% were married couplesliving together, 11.8% had a female householder with no husband present, 5.9% had a male householder with no wife present, and 47.1% were non-families. 41.2% of all households were made up of individuals and 5.9% had someone living alone who was 65 years of age or older. The average household size was 1.82 and the average family size was 2.44. The median age in the city was 43.5 years. 16.1% of residents were under the age of 18; 0.1% were between the ages of 18 and 24; 38.8% were from 25 to 44; 29% were from 45 to 64; and 16.1% were 65 years of age or older. The gender makeup of the city was 54.8% male and 45.2% female.
2000 census
As of the census of 2000, there were 44 people, 16 households, and 12 families residing in the city. The population density was 170.6 people per square mile. There were 23 housing units at an average density of 89.2 per square mile. The racial makeup of the city was 97.73% White and 2.27% Native American. There were 16 households out of which 37.5% had children under the age of 18 living with them, 75.0% were married couples living together, and 25.0% were non-families. 18.8% of all households were made up of individuals and none had someone living alone who was 65 years of age or older. The average household size was 2.75 and the average family size was 3.25. In the city, the population was spread out with 31.8% under the age of 18, 2.3% from 18 to 24, 29.5% from 25 to 44, 20.5% from 45 to 64, and 15.9% who were 65 years of age or older. The median age was 33 years. For every 100 females, there were 76.0 males. For every 100 females age 18 and over, there were 100.0 males. The median income for a household in the city was $37,188, and the median income for a family was $37,188. Males had a median income of $26,875 versus $13,750 for females. The per capita income for the city was $12,042. None of the population and none of the families were below the poverty line.
Economy
Luverne has two businesses located within the city limits. The first is Luverne Farmers Elevator, a grain handling and shipping facility. The second is known as "Dirty Johnny's", a bar and grill. "Dirty Johnny's" is owned by local John T. Rowh and is a favorite of the local farmers. Dirty Johnny's is known for Bobbi Jo Burger and Mama Rowh's homemade pizza. Which are both recipes created by John's late wife Bobbi Jo Rowh. A third business, the "New People's Store" recently closed its doors when the U. S. Postal Service decided to end its operation in Luverne. Residents now must travel to purchase basic needs and gasoline in Hope, Cooperstown, or Valley City, the largest city within of Luverne. Luverne is also home to a number of larger farm operations in the region, both grain and livestock operations. Luverne also boasts a hunting preserve as one of its area businesses.
Education
Luverne had its own K-12 school system until the early 1970s. At that time, Luverne merged with the Hope, school district. Luverne's school aged population is bused to Hope, away, or Page away, for education, depending on their secondary or elementary status. The school's activities have been merged with the Finley-Sharon school district, two other communities in Steele County. With this merger, a great deal of Steele County is now groups for extracurricular activities together, laying the groundwork for a possible future merger of the entire region into one school district.