[5] According to the United States Census Bureau, the town has a total area of 1.4 square miles (3.6 km2), all of it land.

Moffat was established in 1890 by the San Luis Town and Improvement Company and initially attracted many settlers.

It was a major cattle-shipping point on the narrow gauge Denver and Rio Grande Western Railroad.

33.3% of all households were made up of individuals, and 11.1% had someone living alone who was 65 years of age or older.

There were 20.0% of families and 25.2% of the population living below the poverty line, including 41.4% of under eighteens and 25.0% of those over 64.Moffat is part of Colorado's Bustang network.