Fallon is a city in Churchill County in the U.S. state of Nevada. The population was 9,327 at time of the 2020 census. Fallon is the count…Fallon is a city in Churchill County in the U.S. state of Nevada. The population was 9,327 at time of the 2020 census. Fallon is the county seat of Churchill County and is located in the Lahontan Valley. Fallon is known for being home to Naval Air Station Fallon, located southeast of town.