La Verkin is a city in Washington County, Utah, United States. The population was 4,060 as of 2010, an increase from 3,392 in 2000. Th…La Verkin is a city in Washington County, Utah, United States. The population was 4,060 as of 2010, an increase from 3,392 in 2000. Theories about the origin of the city's name suggest that it may be a corruption of the Spanish la virgen, after the nearby Virgin River, or possibly an error in the transcription of the term "beaver skin."