Konawa is located at 34°57?33?N 96°45?10?W / 34.95917°N 96.75278°W / 34.95917; -96.75278 (34.959284, -96.752863). According to the United States Census Bureau, the city has a total area of 1.4 square miles (3.5 km²), all of it land.
As of the census of 2000, there were 1,479 people, 551 households, and 360 families residing in the city. The population density was 1,083.9 people per square mile (419.9/km²). There were 657 housing units at an average density of 481.5 per square mile (186.5/km²). The racial makeup of the city was 70.11% White, 1.89% African American, 22.92% Native American, 0.20% Asian, 0.81% from other races, and 4.06% from two or more races. Hispanic or Latino of any race were 2.16% of the population.