Claude Benton Hudspeth (May 12, 1877 – March 19, 1941) was an American cowboy, rancher, and lawyer from El Paso, Texas.

A native of Medina, he represented Texas as a Democrat in the U.S. Congress from 1919 to 1931.

Hudspeth moved to San Antonio in 1940, and died there on March 19, 1941.

He is buried in the Mission Burial Park in San Antonio.

Hudspeth County, Texas was named for him after he supported its creation in the state senate.