According to the United States Census Bureau, the city has a total area of 1.3 square miles (3.3 km²), of which, 1.2 square miles (3.1 km²) of it is land and 0.1 square miles (0.2 km²) of it (6.20%) is water.
There were 6,696 households out of which 38.9% had children under the age of 18 living with them, 36.4% were married couples living together, 21.6% had a female householder with no husband present, and 34.9% were non-families. 29.3% of all households were made up of individuals and 12.7% had someone living alone who was 65 years of age or older. The average household size was 2.74 and the average family size was 3.38.
In the city the population was spread out with 29.2% under the age of 18, 11.8% from 18 to 24, 31.6% from 25 to 44, 15.8% from 45 to 64, and 11.5% who were 65 years of age or older. The median age was 30 years. For every 100 females there were 98.7 males. For every 100 females age 18 and over, there were 93.7 males.
The median income for a household in the city was $22,628, and the median income for a family was $26,844. Males had a median income of $23,854 versus $18,544 for females. The per capita income for the city was $10,825. About 25.9% of families and 29.0% of the population were below the poverty line, including 40.8% of those under age 18 and 29.3% of those age 65 or over. Central Falls is also home to Hip Hop artist Dana Druff (aka 36O).