Granbury is a city in and the county seat of Hood County, Texas, United States. As of the 2020 census, the city's population was 10,958, and …Granbury is a city in and the county seat of Hood County, Texas, United States. As of the 2020 census, the city's population was 10,958, and it is the principal city of the Granbury micropolitan statistical area. Granbury is named after Confederate General Hiram B. Granbury.