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
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