Morgan County is part of the Ogden–Clearfield Metropolitan Statistical Area as well as the Salt Lake City–Ogden–Clearfield Combined Statistical Area.
As of the census of 2000, there were 7,129 people, 2,046 households, and 1,782 families residing in the county. The population density was 12 people per square mile (5/km²). There were 2,158 housing units at an average density of 4 per square mile (1/km²). The racial makeup of the county was 98.11% White, 0.04% Black or African American, 0.18% Native American, 0.15% Asian, 0.45% from other races, and 1.07% from two or more races. 1.44% of the population were Hispanic or Latino of any race.
There were 2,046 households out of which 49.70% had children under the age of 18 living with them, 79.60% were married couples living together, 5.60% had a female householder with no husband present, and 12.90% were non-families. 11.70% of all households were made up of individuals and 5.80% had someone living alone who was 65 years of age or older. The average household size was 3.48 and the average family size was 3.81.
In the county, the population was spread out with 37.10% under the age of 18, 9.70% from 18 to 24, 24.30% from 25 to 44, 20.20% from 45 to 64, and 8.70% who were 65 years of age or older. The median age was 28 years. For every 100 females there were 102.90 males. For every 100 females age 18 and over, there were 99.70 males.
The median income for a household in the county was $50,273, and the median income for a family was $53,365. Males had a median income of $42,350 versus $23,036 for females. The per capita income for the county was $17,684. About 3.70% of families and 5.20% of the population were below the poverty line, including 5.70% of those under age 18 and 6.90% of those age 65 or over.