Heinz Josef Algermissen (born 15 February 1943 in Hermeskeil, Rhine Province) was bishop of the Roman Catholic Diocese of Fulda from 2001 until 2018.

After graduation from gymnasium in 1963, Algermissen studied philosophy and theology in Freiburg and Paderborn, where he was ordained priest on 19 July 1969 by Archbishop Cardinal Lorenz Jaeger.

After serving as chaplain in Bielefeld and Mescheden, during which time he also counseled at the high school in Paderborn, he became parson in 1980 in Bielefeld-Schildesche, and dean in 1984.

His ordination took place on 21 September 1996, under the auspices of Johannes Joachim Degenhardt, Archbishop of Paderborn and later cardinal.

Since 2002 he is president von Pax Christi, and since 2006 he is vice-president of an ecumenical committee dealing with Judaism for the German Bishops' Conference.