Morgan is a city in Bosque County in central Texas, United States. The city's population was 490 at the 2010 census.
Morgan is located at 32°1′1″N 97°36′25″W (32.016940, -97.606863).
According to the United States Census Bureau, the city has a total area of 0.8 square miles (2.1 km2), all of it land.
As of the census of 2000, there were 485 people, 164 households, and 122 families residing in the city. The population density was 649.3 people per square mile (249.7/km2). There were 197 housing units at an average density of 263.8/sq mi (101.4/km2). The racial makeup of the city was 75.26% White, 0.82% African American, 3.71% Native American, 16.70% from other races, and 3.51% from two or more races. Hispanic or Latino of any race were 35.26% of the population.
There were 164 households, out of which 39.0% had children under the age of 18 living with them, 56.7% were married couples living together, 12.2% had a female householder with no husband present, and 25.6% were non-families. 23.2% of all households were made up of individuals, and 13.4% had someone living alone who was 65 years of age or older. The average household size was 2.96 and the average family size was 3.49.