Eligio Esquivel Méndez (31 October 1908 – 17 December 1964) was a Mexican politician and engineer who served as the Governor of Baja California from 1959 to 1964.

He was selected by president Lázaro Cárdenas to head a commission providing technical support to various Latin American countries.

While working with the commission, he was honored by the government of Bolivia upon the completion of the dam creating La Angostura Lake in the Cochabamba Department of that country.

[2] Esquivel was a member of the Institutional Revolutionary Party (PRI) and was backed by term-limited incumbent governor Braulio Maldonado.

He died in office of an apparent heart attack while visiting El Centro, California and was succeeded by interim governor Gustavo Aubanel Vallejo.