Concho County is a county located on the Edwards Plateau in the U.S. state of Texas. At the 2020 census, the population was 3,303. Its county seat is Paint Rock. The county was founded in 1858 and later organized in 1879. It is named for the Concho River.

The Edwards Plateau is a geographic region forming the crossroads of Central, South and West Texas, United States. It is named in honor of Haden Edwards. It is bounded by the Balcones Fault to the south and east; the Llano Uplift and the Llano Estacado to the north; and the Pecos River and Chihuahuan Desert to the west. San Angelo, Austin, San Antonio and Del Rio roughly outline the area. The plateau, especially its southeast portion, is also known as the Texas Hill Country.