As of the census of 2000, there were 506 people, 166 households, and 125 families residing in the town. The population density was 693.2 people per square mile (267.6/km²). There were 195 housing units at an average density of 267.2/sq mi (103.1/km²). The racial makeup of the town was 95.83% White, 0.40% African American, 2.0% Pacific Islander, 0.99% from other races, and 0.79% from two or more races. Hispanic or Latino of any race were 2.37% of the population.
There were 166 households out of which 37.3% had children under the age of 18 living with them, 69.3% were married couples living together, 4.8% had a female householder with no husband present, and 24.1% were non-families. 21.7% of all households were made up of individuals and 9.0% had someone living alone who was 65 years of age or older. The average household size was 3.05 and the average family size was 3.66.
In the town the population was spread out with 37.0% under the age of 18, 8.3% from 18 to 24, 19.4% from 25 to 44, 21.1% from 45 to 64, and 14.2% who were 65 years of age or older. The median age was 31 years. For every 100 females there were 103.2 males. For every 100 females age 18 and over, there were 98.1 males.
The median income for a household in the town was $31,705, and the median income for a family was $39,000. Males had a median income of $35,000 versus $22,083 for females. The per capita income for the town was $12,900. About 7.1% of families and 10.4% of the population were below the poverty line, including 15.9% of those under age 18 and none of those age 65 or over.
Cokeville Munincipal Airport (U06) is an operational munincipal airport serving the Town of Cokeville and surrounding areas. It is 3 nautical miles (6 km) south of Cokeville. The airport is located on CR 207, and can be accessible by WYO 231, and from east of Laketown, Utah, by Manhead Road. The airport is 6,270 feet (1,911 m) above sea level, and 320 acres (1.3 km) big. It is owned by the town hall of Cokeville.