Mroudjae became foreign minister after the coup by Bob Denard brought Ahmed Abdallah to power in 1978.
He continued in that position until 8 February 1982, when he became prime minister.
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.