Hanover is a census-designated place in Grant County, New Mexico, United States. Its population was 167 as of the 2010 census. Hanover has a post office with ZIP code 88041. New Mexico State Road 152 and New Mexico State Road 356 pass through the community. The town was named after the local Hanover Mines. Sofio Henkel, one of the original settlers, came from Hanover, Germany, in 1841 and mined until 1843, when he was driven away by Apaches.