Francisco Antonio Mourelle de la Rúa (1750 – May 24, 1820) was a Galician naval officer and explorer serving the Spanish crown. He was born in 1750 at San Adrián de Corme (Corme Aldea, Ponteceso), near La Coruña, Galicia.
Mourelle served the Spanish navy in the Guyanas, Trinidad, and the Antilles before becoming stationed at New Spain's Pacific Ocean naval base at San Blas, Mexico in 1774. He joined the 1775 expedition of Bruno de Heceta and Juan Francisco de la Bodega y Quadra, serving as Quadra's pilot on the schooner Sonora. On July 29, at around 49 degrees north latitude, the Sonora became separated from Heceta's ship Santiago. Heceta soon returned south while Quadra and Mourelle continued north, eventually reaching 58 degrees 30 minutes north latitude. They found and anchored in Bucareli Bay. Then they sailed south, arriving at Monterey, California, on October 7, and San Blas on November 20, 1775.
Mourelle's journal was somehow taken clandestinely to London where it was translated and published. Captain James Cook made use of the information in Mourelle's journal during his travels in the Pacific Northwest.
Mourelle again served as the pilot of Quadra, and second in command of the ship Favorita, during the 1779 expedition commanded by Ignacio de Arteaga. Leaving San Blas on February 11, 1779, the expedition reached 61 degrees north and Hinchinbrook Island at the head of the Gulf of Alaska. From there they sailed southwest along the Kenai Peninsula. The ships returned to San Blas on November 21, 1779.