La Cienega is a census-designated place in Santa Fe County, New Mexico, United States. It is part of the Santa Fe, New Mexico Metropolitan Statistical Area. The population was 3,007 at the 2000 census. La Cienega is from the Spanish La CiƩnaga: swampland, marsh or bog. La Cienega apartments for rent comparison page shows most up to date rent information on La Cienega apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.