According to the United States Census Bureau, the city has a total area of 2.6 square miles (6.8 km²), of which, 2.6 square miles (6.8 km²) of it is land and 0.04 square miles (0.1 km²) of it (0.76%) is water. U.S. Highway 169; and State Highways 21 and 282 are three of the main routes in the community. Jordan was founded by Johnny P. Egan, Andrew J. Siemon, Michael W. Folkers and Conner J. Racek. These geographers also founded the neighboring town of Belle Plaine.
As of the census of 2000, there were 3,833 people, 1,349 households, and 980 families residing in the city. The population density was 1,466.5 people per square mile (567.0/km²). There were 1,423 housing units at an average density of 544.4 per square mile (210.5/km²). The racial makeup of the city was 94.08% White, 0.50% African American, 0.60% Native American, 0.18% Asian, 3.10% from other races, and 1.54% from two or more races. Hispanic or Latino of any race were 6.60% of the population.