Draper is a city in Salt Lake and Utah counties in the U.S. state of Utah, about 20 miles south of Salt Lake City along the Wasatch Front. As o…Draper is a city in Salt Lake and Utah counties in the U.S. state of Utah, about 20 miles south of Salt Lake City along the Wasatch Front. As of the 2020 census, the population is 51,017, up from 7,143 in 1990.