Wulf was born in Hanover, Province of Hanover. He was the third child of Bertha Wulf and Karl Wulf, who was a musician and conductor. He spent his childhood with his elder brother and his twin brother in Hildesheim near Hanover. When he was 17 he had to join the German army. He survived World War II as a common soldier.
After the war he became a goldsmith. But he came into contact with anthroposophy and so he decided to become a priest of the Christian Community. In 1953 he received ordination to the priesthood in Stuttgart. Afterwards he worked as a priest in Berlin, Heidelberg, and Zürich, where he worked until his retirement. In 1954 he married Ingeborg Köhler.
He has given more than 8,000 lectures and his complete edition consists of 26 volumes on 17,343 pages. Most of his work is poetry, but he also wrote philosophical books. His topics are anthroposophy and christianity.