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In 1954 Treinin earned his M.Sc and in 1958 Treinin his doctorate. Treinin then left on a post-doctorate at Cambridge University for one year, and returned to a position at Hebrew University. In 1963 he was appointed a Senior Lecturer, in 1965 became an Associate Professor and in 1971 he became a professor. Between 1975 and 1978 Treinin served as the Dean of the Faculty of Science in the Hebrew University in Jerusalem. He eventually retired in 1997. Early in his career Treinin authored a high-school textbook in Chemistry.
His first poetry book, "Azovey Kir" ("אזובי-קיר"), was published in 1957, during his doctoral studies. Through the years he published 12 poetry books. A recurring theme in his writing is the interplay of science and poetry. Treinin's poetry books have won several awards.
Treinin was a member of the Academy of the Hebrew Language.
Treinin died in Jerusalem on October 7, 2011.
In 1949 Treinin married philosopher Rivka Schechter and they had two daughters: Hilla Knobler, poet and professor of medicine, and Millet Treinin-Feitelson, Doctor for biology and a medical school professor at the Hebrew University in Jerusalem. His brother was the Colonel (res.) Avraham Tamir.
- Milo Award (1969)
- Jerusalem Prize (1979)
- Brenner Prize (1986)
- Bialik Prize, for literature (1989)
- Fichman Prize, 1995