Hudspeth County Hudspeth County is located about 70 miles east of The city of El Paso. Hudspeth County in the Trans-Pecos region of far-western Texas, is bordered by New Mexico to the north, the Mexican state of Chihuahua to the south, El Paso County to the west, and Culberson and Jeff Davis counties to the east. Sierra Blanca, the county seat, is seventy miles southeast of El Paso in south central Hudspeth County.