Azéma is a French surname. Notable people with the surname include:
Agénor Azéma de Montgravier (1805–1863), French archaeologist
Anne Azéma, French-born soprano and artistic director of the Boston Camerata
Étienne Azéma (1776–1851), French poet, playwright, and writer of fables
Georges Azéma (1821-1864), French historian from Réunion
Henri Azéma (1861-1932), physician, journalist, and author from Réunion
Jean-Baptiste Azéma (17th century-1745) colonial governor of Réunion
Jean-Henri Azéma (1913–2000), French poet, father of Jean-Pierre Azéma
Jean-Pierre Azéma (born 1937), French historian
Léon Azéma (1888–1978), French architect, employed as "Architect of the City of Paris"
Mazaé Azéma (1823–1886), French politician and doctor, recipient of the Légion d'honneur
Sabine Azéma (born 1949), French movie actress and film director
