Durham is a town in Strafford County, New Hampshire, United States. The population was 14,638 at the 2010 census. Durham is home to the University of New Hampshire.The primary settlement in the town, where 10,345 people resided at the 2010 census, is defined by the U.S. Census Bureau as the Durham census-designated place and includes the densely populated portion of the town centered on the intersection of New Hampshire Route 108 and Main Street and including the university which dominates the town.