Rodrigo Álvarez (Latin: Rudericus Aluari) (died 1187) was a Galician magnate in the Kingdom of León. He founded the Order of Mountjoy in 1174 and affiliated it with the Cistercian Order that he had long patronised.
Rodrigo was a son of Álvaro Rodríguez and Sancha Fernández. He entered the public record in a royal charter of 13 June 1161. A sign of his landed wealth is given by the properties he held at Buján, Fafián, Goon, and Levasser, which he at one point mortgaged for 200 maravedíes. He and his brother Vermudo also came to own lands on the river Esla in the province of León, probably through their mother's second marriage to the Leonese count Pedro Alfonso. Early he received the tenencia (fief from the crown) of Allariz, where he is attested on 18 September 1162. By 1165 he was also holding the region of Lemos from the crown, and in 1168 also Monterroso. After the death of his father in January 1167 he was given the title Count, the highest rank in the kingdom, and received the tenencia of Sarria, which he held until 1171. During those four years (1168–71) he was a regular attendee of the court of King Ferdinand II. At an unknown date, Rodrigo married María, daughter of Ponce de Minerva and Estefanía Ramírez. For her bridewealth Rodrigo gave her the church of San Pelayo de Villamuriel, which she in turn granted to San Marcos de León on 3 June 1172.