Luterbach is a municipality in the district of Wasseramt in the canton of Solothurn in Switzerland. Luterbach is first mentioned in 1052 as luteā¦Luterbach is a municipality in the district of Wasseramt in the canton of Solothurn in Switzerland. Luterbach is first mentioned in 1052 as lutere Bach, though this identification is disputed. In 1319 it was mentioned as ville Luterbach.