Chaparral is an unincorporated community and census-designated place in Doña Ana and Otero counties, New Mexico. The population was 14,631 at the 2010 census. Chaparral is primarily a bedroom community for the neighboring city of El Paso, Texas, and the neighboring military installations of White Sands Missile Range and Fort Bliss. It is officiall…Chaparral is an unincorporated community and census-designated place in Doña Ana and Otero counties, New Mexico. The population was 14,631 at the 2010 census. Chaparral is primarily a bedroom community for the neighboring city of El Paso, Texas, and the neighboring military installations of White Sands Missile Range and Fort Bliss. It is officially part of the Las Cruces Metropolitan Statistical Area.