Oyster Creek is a city in Brazoria County, Texas, United States. The population was 1,173 at the 2020 census. Oyster Creek is located at …Oyster Creek is a city in Brazoria County, Texas, United States. The population was 1,173 at the 2020 census. Oyster Creek is located at 28°59′55″N 95°19′30″W / 28.99861°N 95.32500°W, partially bounded on the north by its eponymous stream.