Floyd County is a county in the U.S. state of Texas. As of the 2020 census, its population was 5,402. The seat of the county is Floydada. The county was created in 1876 and later organized in 1890. It is named for Dolphin Ward Floyd, who died on his 32nd birthday, March 6, 1836, defending the Alamo. The Matador Ranch, based in Motley County, once reached into Floyd County, as well.