Danvers is a city in Swift County, Minnesota, United States. The population was 103 at the 2020 census. The community is named aft…Danvers is a city in Swift County, Minnesota, United States. The population was 103 at the 2020 census. The community is named after Danvers, Massachusetts. A post office called Danvers has been in operation since 1892. Danvers had a depot on the railroad.