Norwich is a village in Muskingum County, Ohio, United States. The population was 102 at the 2010 census.
Norwich was laid out in 1827, and named after Norwich, in England, the native home of a first settler. A post office has been in operation at Norwich since 1828. By 1833, Norwich had four stores, two churches, and two taverns. The village was incorporated in 1833.
Norwich is located at 39°59′7″N 81°47′30″W (39.985203, -81.791680).
According to the United States Census Bureau, the village has a total area of 0.10 square miles (0.26 km2), all land.
As of the census of 2010, there were 102 people, 49 households, and 34 families living in the village. The population density was 1,020.0 inhabitants per square mile (393.8/km2). There were 56 housing units at an average density of 560.0 per square mile (216.2/km2). The racial makeup of the village was 100.0% White.
There were 49 households, of which 20.4% had children under the age of 18 living with them, 55.1% were married couples living together, 6.1% had a female householder with no husband present, 8.2% had a male householder with no wife present, and 30.6% were non-families.
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