Geneva's Ontario County portion (which is most of the city) is surrounded by the town of Geneva. The city says it is the "Lake Trout Capital of the World.".
As of the census of 2000, there were 13,617 people, 5,014 households, and 2,933 families residing in the city. The population density was 1,234.2/km² (3,199.5/mi²). There were 5,564 housing units at an average density of 504.3/km² (1,307.4/mi²). The racial makeup of the city was 81.52% White, 10.22% African American, 0.25% Native American, 1.23% Asian, 0.05% Pacific Islander, 3.39% from other races, and 3.34% from two or more races. Hispanic or Latino of any race were 8.50% of the population.
There were 5,014 households out of which 29.5% had children under the age of 18 living with them, 38.6% were married couples living together, 15.9% had a female householder with no husband present, and 41.5% were non-families. 34.1% of all households were made up of individuals and 14.8% had someone living alone who was 65 years of age or older. The average household size was 2.35 and the average family size was 3.03.
In the city the population was spread out with 23.2% under the age of 18, 18.9% from 18 to 24, 24.3% from 25 to 44, 18.1% from 45 to 64, and 15.5% who were 65 years of age or older. The median age was 32 years. For every 100 females there were 87.4 males. For every 100 females age 18 and over, there were 84.5 males.
The median income for a household in the city was $31,600, and the median income for a family was $41,224. Males had a median income of $31,315 versus $23,054 for females. The per capita income for the city was $15,609. About 13.7% of families and 17.5% of the population were below the poverty line, including 27.2% of those under age 18 and 7.8% of those age 65 or over.
On January 1, 2008, Stu Einstein took office as the city's new mayor.