Krum is a city in Denton County, Texas, United States. The population was 4,157 at the 2010 census, more than doubling its 2000 census popul…Krum is a city in Denton County, Texas, United States. The population was 4,157 at the 2010 census, more than doubling its 2000 census population of 1,984. By 2020, its population was 5,483. According to the United States Census Bureau, the city has a total area of 2.5 square miles, all land.