Between 1975 and 1978 Treinin served as the Dean of the Faculty of Science in the Hebrew University in Jerusalem.
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.
The Day is coming" is a famous Hebrew poem from 1976 that won the Bialik and Agnon literary prizes of Israel, by Treinin, who in the seventies predicted something of the future of 2023.
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.