As of the census of 2000, there were 12,145 people, 4,567 households, and 3,219 families residing in the city. The population density was 583.5 people per square mile (225.3/km²). There were 4,897 housing units at an average density of 235.3/sq mi (90.9/km²). The racial makeup of the city was 42.91% White, 56.18% African American, 0.07% Native American, 0.22% Asian, 0.19% from other races, and 0.43% from two or more races. Hispanic or Latino of any race were 0.99% of the population.
There were 4,567 households out of which 35.5% had children under the age of 18 living with them, 40.9% were married couples living together, 25.9% had a female householder with no husband present, and 29.5% were non-families. 27.4% of all households were made up of individuals and 11.9% had someone living alone who was 65 years of age or older. The average household size was 2.57 and the average family size was 3.14.
In the city the population was spread out with 28.9% under the age of 18, 10.7% from 18 to 24, 25.9% from 25 to 44, 20.3% from 45 to 64, and 14.2% who were 65 years of age or older. The median age was 33 years. For every 100 females there were 82.5 males. For every 100 females age 18 and over, there were 77.2 males.
The median income for a household in the city was $26,404, and the median income for a family was $32,943. Males had a median income of $30,902 versus $20,255 for females. The per capita income for the city was $15,063. About 21.5% of families and 25.1% of the population were below the poverty line, including 37.9% of those under age 18 and 21.8% of those age 65 or over.
Large businesses in West Point include Southern Ionics, Babcock and Wilcox, and Mossy Oak Camouflage Company.
Old Waverly, located outside of West Point and recognized as one of Mississippi's top golf courses, hosted the 1999 U.S. Women's Open, which was won by Juli Inkster.
Waverley Plantation Mansion, just eight miles east of West Point is a National Historic Landmark. Its four story cantilevered stairhall and cupola is considered unique in the United States. The mansion is open daily for tours from 9am and closes promptly at 5pm. Admission fee charged.
Each Labor Day weekend the town of West Point hosts the Prairie Arts Festival, which showcases area artwork as well as a day-long event of flea market shopping.
West Point is the home of three high schools: West Point High School, the town's lone public high school, offers a diverse classroom environment and is the largest of the three. Oak Hill Academy and Hebron Christian School are tuition based private schools.