Souris is in the central part of the county. It is named after the Souris River which flows through the area. 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 58 people, 32 households, and 16 families living in the city. The population density was. There were 45 housing units at an average density of. The racial makeup of the city was 96.6% White, 1.7% Native American, and 1.7% from two or more races. There were 32 households of which 18.8% had children under the age of 18 living with them, 40.6% were married couplesliving together, 9.4% had a male householder with no wife present, and 50.0% were non-families. 50.0% of all households were made up of individuals and 15.7% had someone living alone who was 65 years of age or older. The average household size was 1.81 and the average family size was 2.50. The median age in the city was 48 years. 17.2% of residents were under the age of 18; 8.7% were between the ages of 18 and 24; 13.7% were from 25 to 44; 36.2% were from 45 to 64; and 24.1% were 65 years of age or older. The gender makeup of the city was 56.9% male and 43.1% female.
As of the 2000 census, there were 83 people, 32 households, and 20 families living in the city. The population density was 819.6 people per square mile. There were 46 housing units at an average density of 454.2 per square mile. The racial makeup of the city was 100.00% White. There were 32 households out of which 40.6% had children under the age of 18 living with them, 59.4% were married couples living together, 3.1% had a female householder with no husband present, and 34.4% were non-families. 34.4% of all households were made up of individuals and 18.8% had someone living alone who was 65 years of age or older. The average household size was 2.59 and the average family size was 3.43. In the city, the population was spread out with 34.9% under the age of 18, 3.6% from 18 to 24, 21.7% from 25 to 44, 21.7% from 45 to 64, and 18.1% who were 65 years of age or older. The median age was 35 years. For every 100 females, there were 102.4 males. For every 100 females age 18 and over, there were 107.7 males. The median income for a household in the city was $21,250, and the median income for a family was $35,625. Males had a median income of $22,500 versus $17,917 for females. The per capita income for the city was $9,387. There were 18.8% of families and 16.2% of the population living below the poverty line, including 18.5% of under eighteens and none of those over 64.
