The town lies near the center of the San Luis Valley, hence the name.

[7] At the 2020 United States Census, the town had a total area of 553 acres (2.238 km2), all of it land.

[4] Center has a cold desert climate (Köppen BWk), bordering on a cold semi-arid climate (Köppen BSk).

As of the census[10] of 2012, there were 2,271 people, 768 households, and 603 families residing in the town.

18.2% of all households were made up of individuals, and 7.8% had someone living alone who was 65 years of age or older.