Greiz is a town in the state of Thuringia, Germany, and is the capital of the district of Greiz. Greiz is situated in eastern Thuringia, 100 kilometre…Greiz is a town in the state of Thuringia, Germany, and is the capital of the district of Greiz. Greiz is situated in eastern Thuringia, 100 kilometres east of the state capital Erfurt, on the White Elster river.