According to the U.S. Census Bureau, the county has a total area of, of which is land and is water. It is part of the Magic Valley region of the Snake River Plain. Irrigated farmland covers the southern part of the county, while lava beds cover the northern portion. The elevation is generally in the range of to. The Snake River forms the county's southern boundary.
At the 2000 census there were 20,176 people, 6,973 households, and 5,362 families in the county. The population density was 27 people per square mile. There were 7,498 housing units at an average density of 10 per square mile. The racial makeup of the county was 78.07% White, 0.26% Black or African American, 0.88% Native American, 0.42% Asian, 0.02% Pacific Islander, 17.83% from other races, and 2.52% from two or more races. 25.46%. were Hispanic or Latino of any race. 18.1% were of English, 12.9% German and 12.0% American ancestry. Of the 6,973 households 38.90% had children under the age of 18 living with them, 64.40% were married couples living together, 8.20% had a female householder with no husband present, and 23.10% were non-families. 20.00% of households were one person and 9.60% were one person aged 65 or older. The average household size was 2.87 and the average family size was 3.32. The age distribution was 31.60% under the age of 18, 9.10% from 18 to 24, 25.20% from 25 to 44, 20.90% from 45 to 64, and 13.20% 65 or older. The median age was 34 years. For every 100 females, there were 99.90 males. For every 100 females age 18 and over, there were 97.80 males. The median household income was $32,021 and the median family income was $36,500. Males had a median income of $28,977 versus $19,521 for females. The per capita income for the county was $13,813. About 11.90% of families and 14.80% of the population were below the poverty line, including 18.90% of those under age 18 and 9.00% of those age 65 or over.
2010 census
At the 2010 census, there were 20,069 people, 7,170 households, and 5,315 families in the county. The population density was. There were 7,665 housing units at an average density of. The racial makeup of the county was 80.2% white, 1.2% American Indian, 0.4% black or African American, 0.4% Asian, 15.3% from other races, and 2.4% from two or more races. Those of Hispanic or Latino origin made up 32.4% of the population. In terms of ancestry, 19.9% were German, 16.8% were English, 10.2% were American, and 6.5% were Irish. Of the 7,170 households, 37.5% had children under the age of 18 living with them, 59.8% were married couples living together, 9.1% had a female householder with no husband present, 25.9% were non-families, and 22.0% of households were made up of individuals. The average household size was 2.79 and the average family size was 3.27. The median age was 35.3 years. The median household income was $40,350 and the median family income was $47,079. Males had a median income of $32,895 versus $22,271 for females. The per capita income for the county was $17,747. About 9.4% of families and 13.1% of the population were below the poverty line, including 20.0% of those under age 18 and 7.4% of those age 65 or over.
Like all of eastern Idaho, Minidoka County has been overwhelmingly Republican since the 1950s. The last Democratic presidential candidate to carry the county was Harry S. Truman in 1948, and the last to win a majority Franklin D. Roosevelt in 1940.