As of 2010, there were 188 people, 84 households, and 49 families residing in the Village of Oakwood Park. The population was 2,685.7 inhabitants per square mile (1,037.0/km2). There were 84 housing units at an average density of 1,200.0 per square mile (463.3/km2). The average household size was 2.24 and the average family size was 2.88.
The median age in the village was 42.5 years. 18.1% of residents were under the age of 18; 5.4% were between the ages of 18 and 24; 30.3% were from 25 to 44; 27.7% were from 45 to 64; and 18.6% were 65 years of age or older. The gender makeup of the village was 48.9% male and 51.1% female.