Joseph Issoufou Conombo (9 February 1917 – 20 December 2008) served as Prime Minister of Upper Volta (now Burkina Faso) from 7 July 1978 to 25 November 1980. Born in the department of Kombissiri, he attended medical school in Dakar, Senegal, then served in the French forces during World War II.
In 1951, Conombo was elected to the French National Assembly, a position he held until Upper Volta gained independence in 1959, even serving as undersecretary of state (1954–1955) in the government of Pierre Mendès France. He served as mayor of Ouagadougou from 1961 to 1965. As a doctor, he was director general for public health (1966–1968), and minister of foreign affairs (1971–1973). He served as prime minister until the military coup led by Saye Zerbo that overthrew the government of President Sangoulé Lamizana. Conombo died on 20 December 2008 at the age of 91.