Consuegra is a surname. Notable people with the surname include:
Agustín Díaz De Mera García Consuegra (born 1947), Spanish politician Cara Consuegra (born 1979), American basketball coach David Consuegra (1939–2004), Colombian graphic designer and illustrator Hugo Consuegra (born 1929), Cuban-American architect and artist Rafael Consuegra (born 1941), US-based Cuban artist Sandy Consuegra (1920–2005), Cuban-born American baseball player