As of the census of 2000, there were 4,685 people, 1,914 households, and 1,140 families living in the city. The population density was 956.1 people per square mile (369.2/km). There were 2,162 housing units at an average density of 441.2 per square mile (170.4/km). The racial makeup of the city was 93.81% White The two largest ethnic groups in Lawrenceburg and Lawrenceburg Township are 29% German Americans, and 19% Irish Americans, 4.18% African American, 0.15% Native American, 0.45% Asian, 0.04% Pacific Islander, 0.32% from other races, and 1.05% from two or more races. Hispanic or Latino of any race were 0.85% of the population.