Gibbon is a city in Sibley County, Minnesota, United States. The population was 772 at the 2010 census.
According to the United States Census Bureau, the city has a total area of 0.9 square miles (2.3 km²), all of it land.
As of the census of 2009, there were 736 people, 303 households, and 162 families residing in the city. The population density was 910.0 people per square mile (350.5/km²). There were 363 housing units at an average density of 425.7 per square mile (164.0/km²). The racial makeup of the city was 95.17% White, 0.74% Native American, 0.50% Asian, 3.09% from other races, and 0.50% from two or more races. Hispanic or Latino of any race were 3.84% of the population.