Amherst is a village in Buffalo County, Nebraska, United States. It is part of the Kearney, Nebraska Micropolitan Statistical Area. The population was 248 at the 2010 census. Amherst was laid out and platted on its present site in 1890 when the railroad was built through that territory. It was named after Amherst College, in Massachusetts. Amherst was i…Amherst is a village in Buffalo County, Nebraska, United States. It is part of the Kearney, Nebraska Micropolitan Statistical Area. The population was 248 at the 2010 census. Amherst was laid out and platted on its present site in 1890 when the railroad was built through that territory. It was named after Amherst College, in Massachusetts. Amherst was incorporated as a village in 1894.