Linn is a city in Osage County, Missouri, USA. The population was 1,354 at the 2000 census. It is the county seat of Osage County. Linn is part of the Jefferson City, Missouri Metropolitan Statistical Area.
Linn is located at 38°28′59″N 91°50′49″W / 38.48306°N 91.84694°W / 38.48306; -91.84694 (38.482958, -91.846908). 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 2000, there were 1,354 people, 533 households, and 300 families residing in the city. The population density was 1,543.3 people per square mile (594.1/km²). There were 616 housing units at an average density of 702.1 per square mile (270.3/km²). The racial makeup of the city was 97.86% White, 0.22% African American, 0.52% Native American, 0.44% Asian, 0.22% from other races, and 0.74% from two or more races. Hispanic or Latino of any race were 0.96% of the population.