Floyd is a village in Roosevelt County, New Mexico, United States.

According to the United States Census Bureau, the village has a total area of 3.1 square miles (8.0 km2), all land.

There were 33 housing units at an average density of 10.7 per square mile (4.1/km2).

13.3% of all households were made up of individuals, and 10.0% had someone living alone who was 65 years of age or older.

There were 19.2% of families and 41.8% of the population living below the poverty line, including 61.5% of under eighteens and 19.2% of those over 64.