He studied in his hometown at the Academia de Bellas Artes with his cousin, the painter José Domínguez Bécquer.
When José Domínguez died, in 1841, Joaquín became the guardian of his son, Valeriano, who would also become a painter.
His first major commission came from the court of Queen Isabella II to direct the artistic work being done on the occasion of the restoration of the Alcázar of Seville.
This earned him the honorary title of Court Painter, and he was appointed Master of Drawing for the Queen's nephews; the sons of Luisa Fernanda de Borbón and Antoine de Orleans.
He also did portraits, urban landscapes, and historical scenes; notably a large canvas depicting the Treaty of Wad Ras, which is displayed in the headquarters of the City Council of Seville.