Greenwood, WI. Greenwood is a city in Clark County in the U.S. state of Wisconsin. The population was 1,079 at the 2000 census. Greenwood is located at 44°46′4″N 90°35′56″W / 44.76778°N 90.59889°W / 44.76778; -90.59889 (44.767826, -90.598959). According to the United States Census Bureau, the city has a total area of 2.8 square miles (7.4 km²), of which, 2.8 square miles (7.3 km²) of it is land and 0.04 square miles (0.1 km²) of it (1.05%) is water.