Government Hill is a neighborhood in the northwest part of Anchorage, Alaska, sitting in between Anchorage's downtown area and the western reaches of Joint Base Elmendorf-Richardson, specifically the portion formerly known as Elmendorf Air Force Base. The neighborhood is named for the "hill" it sits on of about 115 feet (35 m) bearing the same name, which is actually a bluff which rises alongside the northern banks of Ship Creek.