Wimbledon is a city in Pierce Township, Barnes County, North Dakota, United States. The population was 178 at the 2020 census. Wimbled…Wimbledon is a city in Pierce Township, Barnes County, North Dakota, United States. The population was 178 at the 2020 census. Wimbledon is located at 47°10′14″N 98°27′36″W / 47.17056°N 98.46000°W. According to the United States Census Bureau, the city has a total area of 0.53 square miles, all land.