Licence de lettres, University de Rabat, Morocco, 1948. Licence de philosophie, University Paris, 1950. Licence de théologie, Catholic Institute, Paris, 1955.
Henri Teissier was ordained as the priest by Diocese of Algiers on May 24th 1955. On 30 November 1972, aged 43, he was appointed by Pope Paul VI Bishop of Oran. He received episcopal consecration on the 2 February 1973.
On 20 December 1980 he was appointed coadjutor to the archbishop Cardinal Duval in Algiers.
In 1988, Cardinal Duval withdrew and Henri Teissier became Archbishop of Algiers. He had been living in Algeria since 1948 and obtained Algerian citizenship in 1966.
Teissier was President of the Conference of Bishops of North Africa from 1982 to 2004. During this period Pierre Claverie, the Bishop of Oran was killed and the assassination of the monks of Tibhirine took place.
Legion of Honor On the 24 May 2008 Pope Benedict XVI accepted his retirement.
He was replaced by Father Ghaleb Moussa Abdalla Bader from Latin Patriarchate of Jerusalem 2008 he was appointed a knight of the Legion of Honor for his many honorable and peaceful works.
Henri Teissier was nominated on 23 September 2009 by Pope Benedict XVI a member of the Second Special Assembly of the synod for Africa.