Hominy is a city in Osage County, Oklahoma, United States. The population was 3,565 at the 2010 census, a 38 percent increase oveā¦Hominy is a city in Osage County, Oklahoma, United States. The population was 3,565 at the 2010 census, a 38 percent increase over the figure of 2,584 recorded in 2000. The town was the home of an all-Native American football team in the 1920s. Parts of a docudrama on the Hominy Indians were shot in the area in 2013.