Ware now contains portions of Enfield and Greewich, Massachusetts, two of the four towns that were disincorporated in 1938 to make way for the Quabbin Reservoir.As of the census2 of 2000, there were 9,707 people, 4,027 households, and 2,597 families residing in the town. The population density was 108.9/km² (282.1/mi²).

There were 4,336 housing units at an average density of 48.7/km² (126.0/mi²). The racial makeup of the town was 96.49% White, 0.55% Black or African American, 0.23% Native American, 0.60% Asian, 0.06% Pacific Islander, 0.76% from other races, and 1.32% from two or more races. Hispanic or Latino of any race were 2.08% of the population.

There were 4,027 households out of which 29.8% had children under the age of 18 living with them, 46.8% were married couples living together, 12.3% had a female householder with no husband present, and 35.5% were non-families. 29.1% of all households were made up of individuals and 12.5% had someone living alone who was 65 years of age or older. The average household size was 2.41 and the average family size was 2.96.

In the town the population was spread out with 24.7% under the age of 18, 8.1% from 18 to 24, 29.3% from 25 to 44, 22.8% from 45 to 64, and 15.1% who were 65 years of age or older. The median age was 38 years. For every 100 females there were 94.9 males. For every 100 females age 18 and over, there were 91.6 males.