Genesee County is a county in the U.S. state of New York. As of the 2020 census, the population was 58,388. Its county seat is Batavia. Its name is from Seneca word Gen-nis'-hee-yo, meaning "the Beautiful Valley". The county was created in 1802 and organized in 1803. The county is part of the Finger Lakes region of the state. Genesee County comprises the Batavia, NY micropolitan statistical area, which is also in the Rochester-Batavia-Seneca Falls, NY combined statistical area.