French Lick is located at 38°32'49"N, 86°37'8"W (38.546872, -86.618939)GR1. The area has rich mineral sources ("The Lick").
According to the United States Census Bureau, the town has a total area of 4.2 km2 (1.6 mi2). 4.2 km2 (1.6 mi2) of it is land and none of it is covered by water.
As of the census of 2000, there were 1,941 people, 849 households, and 513 families residing in the town. The population density was 462.6/km2 (1,196.3/mi2). There were 948 housing units at an average density of 225.9/km2 (584.3/mi2). The racial makeup of the town was 94.18% White, 3.66% African American, 0.26% Native American, 0.41% Asian, 0.26% from other races, and 1.24% from two or more races. Hispanic or Latino of any race were 0.46% of the population.
There were 849 households out of which 25.7% had children under the age of 18 living with them, 43.6% were married couples living together, 12.5% had a female householder with no husband present, and 39.5% were non-families. 35.2% of all households were made up of individuals and 18.0% had someone living alone who was 65 years of age or older. The average household size was 2.21 and the average family size was 2.81.
In the town the population was spread out with 22.0% under the age of 18, 8.6% from 18 to 24, 26.0% from 25 to 44, 22.9% from 45 to 64, and 20.6% who were 65 years of age or older. The median age was 40 years. For every 100 females there were 91.8 males. For every 100 females age 18 and over, there were 87.6 males.
The median income for a household in the town was $27,197, and the median income for a family was $36,583. Males had a median income of $26,046 versus $17,346 for females. The per capita income for the town was $15,113. About 11.8% of families and 18.7% of the population were below the poverty line, including 33.7% of those under age 18 and 17.8% of those age 65 or over.