Elbert is a census-designated place (CDP) in Throckmorton County, Texas, United States.
The CDP was defined in or about the year 2000 by the United States Census Bureau for their use.
According to the United States Census Bureau in 2000, the CDP has a total area of 11.7 square miles (30.4 km2), all land.
The racial makeup of the CDP was 96.67% White (29 people) and 3.33% Native American (1 person).
The climate in this area is characterized by hot, humid summers and generally mild to cool winters.