Solon is a city located in Johnson County, Iowa, United States. Part of the Iowa City, Iowa Metropolitan Statistical Area, it is located a few miles …Solon is a city located in Johnson County, Iowa, United States. Part of the Iowa City, Iowa Metropolitan Statistical Area, it is located a few miles from Lake MacBride State Park and the larger cities of Coralville and Iowa City. The population was 3,018 at the time of the 2020 census.