Amherst is a town in Hillsborough County, New Hampshire, United States. The population was 11,201 at the 2010 census. Amherst is home to Ponemah Bog Wildlife Sanctuary, Hodgman State Forest, the Joe English Reservation and Baboosic Lake.The town center village, where 613 people resided at the 2010 census, is defined as the Amherst census-designated place. The village is also listed on the National Register of Historic Places as Amherst Village Historic District.