Newberry is a city located on the west side of Alachua County, Florida, USA. The population was 3,316 at the 2000 census. As of 2004, the population recorded by the U.S. Census Bureau is 3,630. Much of the city borders the neighboring Gilchrist County to the west. The current mayor is John R. Glanzer. Newberry apartments for rent comparison page shows most up to date rent information on Newberry apartments and houses. Rent information is obtained from multiple rental sources but we cannot guarantee their accuracy.