Ali Mroudjaé attended the École normale supérieure des lettres et sciences humaines de Lyon. After a coup by Bob Denard (1929-2007), Ahmed Abdallah presented to the government the Minister of Foreign Affairs, Ali Mroudjaé in 1978. In this post, he worked until 8 February 1982 as a member of the Prime Minister of the Comorian Union for Progress. He held this position until 31 December 1984. In 2002, he ran again in the elections but only reached 4.2%.