Blue Mountain is a town in Tippah County, Mississippi, United States. The population was 920 at the 2010 census. Blue Mountain is rooted in the community that developed around Blue Mountain Christian University, which was founded in 1873. The Town of Blue Mountain was incorporated in 1877. The name refers to the blueish morning hue of the surroundiā¦Blue Mountain is a town in Tippah County, Mississippi, United States. The population was 920 at the 2010 census. Blue Mountain is rooted in the community that developed around Blue Mountain Christian University, which was founded in 1873. The Town of Blue Mountain was incorporated in 1877. The name refers to the blueish morning hue of the surrounding hills.