- Al-Iryani was born in 1934 in Eryan, a village in the central highlands of Ibb.
- He was the Prime Minister of Yemen from 29 April 1998 to 31 March 2001.
- He studied in the United States, receiving a Bachelor of Science in Agriculture from the University of Georgia in 1962, a Master of Science in Agriculture from the same institution in 1964, and a Ph.D. in Biochemical Genetics from Yale University in 1968.
- Al-Iryani served in the government of North Yemen as Minister of Development (1974–1976), Minister of Education (1976–1978), Prime Minister (1980–1983), and Minister of Foreign Affairs (1984–1990).
- Served as Minister of Foreign Affairs for the united Republic of Yemen until 1993, when he became Minister of Development briefly before returning to the post of Minister of Foreign Affairs in 1994.
- He was appointed as Prime Minister after Faraj Said Bin Ghanem abruptly resigned on 29 April 1998.
- A member of the Global Leadership Foundation, a non-profit
- Al-Iryani died on 8 November 2015 in Frankfurt.