Newcomerstown is located at , along the Tuscarawas River. According to the United States Census Bureau, the village has a total area of, of which is land and is water.
As of the census of 2010, there were 3,822 people, 1,598 households, and 982 families living in the village. The population density was. There were 1,798 housing units at an average density of. The racial makeup of the village was 95.6% White, 1.6% African American, 0.2% Native American, 0.3% Asian, 0.5% from other races, and 1.8% from two or more races. Hispanic or Latino of any race were 1.2% of the population. There were 1,598 households of which 30.0% had children under the age of 18 living with them, 42.3% were married couplesliving together, 13.5% had a female householder with no husband present, 5.7% had a male householder with no wife present, and 38.5% were non-families. 33.7% of all households were made up of individuals and 16.3% had someone living alone who was 65 years of age or older. The average household size was 2.35 and the average family size was 2.98. The median age in the village was 40.3 years. 24.1% of residents were under the age of 18; 8.7% were between the ages of 18 and 24; 23.2% were from 25 to 44; 26.4% were from 45 to 64; and 17.6% were 65 years of age or older. The gender makeup of the village was 47.4% male and 52.6% female.
2000 census
As of the census of 2000, there were 4,008 people, 1,654 households, and 1,063 families living in the village. The population density was 1,619.7 people per square mile. There were 1,817 housing units at an average density of 734.3 per square mile. The racial makeup of the village was 95.83% White, 2.57% African American, 0.25% Native American, 0.07% Asian, 0.20% from other races, and 1.07% from two or more races. Hispanic or Latino of any race were 0.72% of the population. There were 1,654 households out of which 31.4% had children under the age of 18 living with them, 46.8% were married couples living together, 13.2% had a female householder with no husband present, and 35.7% were non-families. 31.0% of all households were made up of individuals and 16.0% had someone living alone who was 65 years of age or older. The average household size was 2.37 and the average family size was 2.96. In the village, the population was spread out with 26.1% under the age of 18, 7.8% from 18 to 24, 26.9% from 25 to 44, 21.2% from 45 to 64, and 17.9% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 86.9 males. For every 100 females age 18 and over, there were 81.8 males. The median income for a household in the village was $27,414, and the median income for a family was $34,464. Males had a median income of $26,703 versus $18,375 for females. The per capita income for the village was $15,946. About 12.0% of families and 16.0% of the population were below the poverty line, including 26.2% of those under age 18 and 11.4% of those age 65 or over.
