Gordon was platted in 1849 and named for one of its first settlers. It was located at the intersection of the Dayton and Union and Ohio Electric railroads.
According to the United States Census Bureau, the village has a total area of 0.17 square miles (0.44 km2), all of it land.
As of the census of 2010, there were 212 people, 74 households, and 59 families residing in the village. The population density was 1,247.1 inhabitants per square mile (481.5 /km2). There were 79 housing units at an average density of 464.7 per square mile (179.4 /km2). The racial makeup of the village was 97.6% White, 0.5% African American, 0.5% Native American, 0.5% from other races, and 0.9% from two or more races.
There were 74 households of which 32.4% had children under the age of 18 living with them, 63.5% were married couples living together, 10.8% had a female householder with no husband present, 5.4% had a male householder with no wife present, and 20.3% were non-families. 18.9% of all households were made up of individuals and 12.2% had someone living alone who was 65 years of age or older. The average household size was 2.86 and the average family size was 3.24.
The median age in the village was 40.8 years. 25% of residents were under the age of 18; 9.9% were between the ages of 18 and 24; 24% were from 25 to 44; 27.4% were from 45 to 64; and 13.7% were 65 years of age or older. The gender makeup of the village was 53.3% male and 46.7% female.