Alpine is a city in and the county seat of Brewster County, Texas, United States. The population was 5,905 at the 2010 census. The town has an elevation of 4,475 feet, and the surrounding mountain peaks are over a mile high. The university, hospital, library, and retailing make Alpine the center of the sprawling (12,000 square miles) but wide open Big Bend area (combined population only 12,500) including Brewster, Presidio, and Jeff Davis counties.