Lovington is a city in, and the county seat of, Lea County, New Mexico, United States. The population was 11,009 at the 2010 census, up fro…Lovington is a city in, and the county seat of, Lea County, New Mexico, United States. The population was 11,009 at the 2010 census, up from 9,471 in 2000. Lovington is located slightly north of the center of Lea County.