Hawkeye is a city in Fayette County, Iowa, United States. The population was 438 at the time of the 2020 census. According to the United Stat…Hawkeye is a city in Fayette County, Iowa, United States. The population was 438 at the time of the 2020 census. According to the United States Census Bureau, the city has a total area of 0.67 square miles, all land.