As of the census of 2000, there were 11,034 people, 3,887 households, and 2,736 families residing in the city. The population density was 2,472.1 people per square mile (955.2/km²). There were 4,094 housing units at an average density of 917.2/sq mi (354.4/km²). The racial makeup of the city was 74.43% White, 0.28% African American, 1.01% Native American, 0.18% Asian, 0.24% Pacific Islander, 20.62% from other races, and 3.24% from two or more races. Hispanic or Latino of any race were 39.04% of the population.
There were 3,887 households out of which 37.5% had children under the age of 18 living with them, 54.6% were married couples living together, 10.9% had a female householder with no husband present, and 29.6% were non-families. 25.6% of all households were made up of individuals and 12.6% had someone living alone who was 65 years of age or older. The average household size was 2.79 and the average family size was 3.32.
In the city the population was spread out with 30.2% under the age of 18, 9.6% from 18 to 24, 29.1% from 25 to 44, 18.1% from 45 to 64, and 13.1% who were 65 years of age or older. The median age was 32 years. For every 100 females there were 100.4 males. For every 100 females age 18 and over, there were 97.6 males.
The median income for a household in the city was $33,128, and the median income for a family was $36,134. Males had a median income of $27,667 versus $22,346 for females. The per capita income for the city was $15,024. About 8.9% of families and 12.9% of the population were below the poverty line, including 16.5% of those under age 18 and 8.6% of those age 65 or over.
Amtrak, the national passenger rail system, provides service through Fort Morgan, operating its California Zephyr daily in both directions between Chicago and Emeryville, California, across the bay from San Francisco.
Although the town is served by Fort Morgan Municipal Airport, there are no scheduled airlines operating from there. Denver International Airport is 76 miles southwest and is the closest airport to provide scheduled services.