Cooper City is a city in Broward County, Florida, United States.The city is named for Morris Cooper, who founded the community in 1959. The city's population was 28,547 at the 2010 census.Cooper City is part of the South Florida metropolitan area, which was home to 5,564,635 people at the 2010 census.he city's population was 28,547 at the 2010 census. Cooper City is part of the South Florida metropolitan area, which was home to 5,564,635 people at the 2010 census.